Find the first and second derivatives of the following functions. F...

Question
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.pdf
Purchase Solution
$20.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Mathematics Tutors 529 tutors matched
ionut
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version654msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (412ms)time
    • Application (242ms)time
    • 1 x Booting (62.95%)
      412ms
      1 x Application (37.05%)
      242ms
      • Illuminate\Routing\Events\Routing (1.79ms)
      • Illuminate\Routing\Events\RouteMatched (982μs)
      • Illuminate\Foundation\Events\LocaleUpdated (4.57ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (336μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (220μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.54ms)
      • Illuminate\Database\Events\StatementPrepared (22.72ms)
      • Illuminate\Database\Events\QueryExecuted (1.21ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (110μs)
      • eloquent.booting: App\Models\Subject (158μs)
      • eloquent.booted: App\Models\Subject (61μs)
      • Illuminate\Database\Events\StatementPrepared (12.87ms)
      • Illuminate\Database\Events\QueryExecuted (1.07ms)
      • eloquent.retrieved: App\Models\Subject (160μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (348μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (71μs)
      • Illuminate\Database\Events\StatementPrepared (1.34ms)
      • Illuminate\Database\Events\QueryExecuted (4.29ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (712μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (21μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.booting: App\Models\SubjectCat (434μs)
      • eloquent.booted: App\Models\SubjectCat (67μs)
      • Illuminate\Database\Events\StatementPrepared (829μs)
      • Illuminate\Database\Events\QueryExecuted (1.23ms)
      • eloquent.retrieved: App\Models\SubjectCat (114μs)
      • Illuminate\Cache\Events\CacheHit (23.16ms)
      • Illuminate\Cache\Events\CacheMissed (356μs)
      • Illuminate\Database\Events\StatementPrepared (890μs)
      • Illuminate\Database\Events\QueryExecuted (20.42ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (113μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (22μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • Illuminate\Database\Events\StatementPrepared (966μs)
      • Illuminate\Database\Events\QueryExecuted (1.52ms)
      • eloquent.retrieved: App\Models\Subject (121μs)
      • Illuminate\Cache\Events\KeyWritten (1.24ms)
      • Illuminate\Database\Events\StatementPrepared (2.16ms)
      • Illuminate\Database\Events\QueryExecuted (1.28ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (164μs)
      • Illuminate\Database\Events\StatementPrepared (1.19ms)
      • Illuminate\Database\Events\QueryExecuted (1.03ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (50μs)
      • Illuminate\Database\Events\StatementPrepared (955μs)
      • Illuminate\Database\Events\QueryExecuted (2.67ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (96μs)
      • Illuminate\Cache\Events\CacheHit (858μs)
      • creating: homework.show (1.12ms)
      • composing: homework.show (161μs)
      • creating: components.breadcrumbs (862μs)
      • composing: components.breadcrumbs (184μs)
      • Illuminate\Database\Events\StatementPrepared (1.82ms)
      • Illuminate\Database\Events\QueryExecuted (1.01ms)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\CacheHit (4.9ms)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (339μs)
      • Illuminate\Cache\Events\CacheHit (619μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (262μs)
      • Illuminate\Cache\Events\CacheHit (395μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (356μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (618μs)
      • Illuminate\Cache\Events\CacheHit (621μs)
      • Illuminate\Cache\Events\CacheHit (2.88ms)
      • Illuminate\Cache\Events\CacheHit (784μs)
      • Illuminate\Cache\Events\CacheHit (951μs)
      • Illuminate\Cache\Events\CacheHit (946μs)
      • Illuminate\Cache\Events\CacheHit (411μs)
      • Illuminate\Cache\Events\CacheHit (351μs)
      • Illuminate\Cache\Events\CacheHit (393μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (698μs)
      • Illuminate\Cache\Events\CacheHit (406μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (357μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (446μs)
      • Illuminate\Cache\Events\CacheHit (302μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (493μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (245μs)
      • Illuminate\Cache\Events\CacheHit (578μs)
      • Illuminate\Cache\Events\CacheHit (680μs)
      • Illuminate\Cache\Events\CacheHit (791μs)
      • Illuminate\Cache\Events\CacheHit (670μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (634μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (422μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (462μs)
      • Illuminate\Cache\Events\CacheHit (324μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (346μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (479μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (5.31ms)
      • Illuminate\Cache\Events\CacheHit (3.34ms)
      • Illuminate\Cache\Events\CacheHit (349μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (326μs)
      • Illuminate\Cache\Events\CacheHit (318μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (454μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (321μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (451μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (368μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (373μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (1.04ms)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (302μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (262μs)
      • Illuminate\Cache\Events\CacheHit (370μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (344μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (500μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (346μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (356μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (448μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (2.5ms)
      • Illuminate\Cache\Events\CacheHit (627μs)
      • Illuminate\Cache\Events\CacheHit (773μs)
      • Illuminate\Cache\Events\CacheHit (506μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (346μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (1.02ms)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (309μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (404μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (802μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (470μs)
      • Illuminate\Cache\Events\CacheHit (563μs)
      • Illuminate\Cache\Events\CacheHit (347μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (1.54ms)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (330μs)
      • Illuminate\Cache\Events\CacheHit (386μs)
      • Illuminate\Cache\Events\CacheHit (391μs)
      • Illuminate\Cache\Events\CacheHit (382μs)
      • Illuminate\Cache\Events\CacheHit (308μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (245μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (335μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (299μs)
      • Illuminate\Cache\Events\CacheHit (478μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (397μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (261μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • creating: site.layouts.app (537μs)
      • composing: site.layouts.app (26μs)
      • creating: components.canonical (484μs)
      • composing: components.canonical (108μs)
      • creating: components.open-graph (205μs)
      • composing: components.open-graph (199μs)
      • creating: site.headers.header (334μs)
      • composing: site.headers.header (80μs)
      • Illuminate\Cache\Events\CacheHit (2.31ms)
      • creating: components.footer (88μs)
      • composing: components.footer (99μs)
      • Illuminate\Cache\Events\CacheHit (1.14ms)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (649μs)
      • Illuminate\Cache\Events\CacheHit (377μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (341μs)
      • Illuminate\Cache\Events\CacheHit (456μs)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • creating: components.forms.contact-us (353μs)
      • composing: components.forms.contact-us (287μs)
      • creating: components.forms.get-started (256μs)
      • composing: components.forms.get-started (134μs)
      • creating: components.forms.free-tool-download (146μs)
      • composing: components.forms.free-tool-download (70μs)
      • creating: components.forms.claim-free-worksheet (130μs)
      • composing: components.forms.claim-free-worksheet (68μs)
      • creating: components.forms.tutor-subscription-waitlist (240μs)
      • composing: components.forms.tutor-subscription-waitlist (78μs)
      • creating: components.forms.tutor-subscription-join (139μs)
      • composing: components.forms.tutor-subscription-join (67μs)
      • creating: components.forms.tutor-support (125μs)
      • composing: components.forms.tutor-support (67μs)
      • 321 x Illuminate\Cache\Events\CacheHit (20.49%)
        134ms
        10 x Illuminate\Database\Events\StatementPrepared (6.99%)
        45.74ms
        10 x Illuminate\Database\Events\QueryExecuted (5.46%)
        35.73ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.7%)
        4.57ms
        1 x Illuminate\Routing\Events\Routing (0.27%)
        1.79ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.23%)
        1.54ms
        1 x Illuminate\Cache\Events\KeyWritten (0.19%)
        1.24ms
        1 x creating: homework.show (0.17%)
        1.12ms
        12 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.17%)
        1.11ms
        1 x Illuminate\Routing\Events\RouteMatched (0.15%)
        982μs
        1 x creating: components.breadcrumbs (0.13%)
        862μs
        1 x creating: site.layouts.app (0.08%)
        537μs
        1 x creating: components.canonical (0.07%)
        484μs
        1 x eloquent.booting: App\Models\SubjectCat (0.07%)
        434μs
        1 x Illuminate\Cache\Events\CacheMissed (0.05%)
        356μs
        1 x creating: components.forms.contact-us (0.05%)
        353μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.05%)
        348μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        336μs
        1 x creating: site.headers.header (0.05%)
        334μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        294μs
        1 x composing: components.forms.contact-us (0.04%)
        287μs
        2 x eloquent.retrieved: App\Models\Subject (0.04%)
        281μs
        1 x creating: components.forms.get-started (0.04%)
        256μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.04%)
        240μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        220μs
        2 x eloquent.retrieved: App\Models\SubjectCat (0.03%)
        208μs
        1 x creating: components.open-graph (0.03%)
        205μs
        1 x composing: components.open-graph (0.03%)
        199μs
        1 x composing: components.breadcrumbs (0.03%)
        184μs
        1 x composing: homework.show (0.02%)
        161μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        158μs
        1 x creating: components.forms.free-tool-download (0.02%)
        146μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        139μs
        1 x composing: components.forms.get-started (0.02%)
        134μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        130μs
        1 x creating: components.forms.tutor-support (0.02%)
        125μs
        1 x composing: components.canonical (0.02%)
        108μs
        1 x composing: components.footer (0.02%)
        99μs
        1 x creating: components.footer (0.01%)
        88μs
        1 x composing: site.headers.header (0.01%)
        80μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        78μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        71μs
        1 x composing: components.forms.free-tool-download (0.01%)
        70μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        68μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        67μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        67μs
        1 x composing: components.forms.tutor-support (0.01%)
        67μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        61μs
        1 x composing: site.layouts.app (0%)
        26μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated55.64ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '39133' limit 1
        23.09mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 39133
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (6)
        1.09mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (39133)
        3.65mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.23mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 39133 and `subject` = 6 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        20.31mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 39133
        • 1: 6
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (6)
        1.61mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 39133 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.15mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 39133
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 39133 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.18mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 39133
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 39133 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.09mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 39133
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.24mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      12HomeworkLibraryFile.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
      App\Models\SubjectCat
      2SubjectCat.php
          _token
          0WxAdspx4toFJd7ScXT5Qmi2j32XCIzGPXdA50Ai
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Calculus/39133
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Cal...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Calculus/39133
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-6806a4f2-514d32105d804898168a7c9c" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "18.216.211.173" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Mon, 21 Apr 2025 20:05:07 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjI5d3l4dEh4bDF4NHkybHNuc1J3TlE9PSIsInZhbHVlIjoibjc1NTBYbW5ZQWJVbWJlQVIwdDl1NDNOMjFINExoUW9NN1F0SjlsUFJvWW1saHlraGJ1cHRtc3lXTEdCZjh6aW1uVm1FM0YyTzBxWFdnMmVrT204QStqYmJ5V0x0bllUODJIaTJsRnRFK2g5cnBnakUzWTlBVVFMa0VrQ29idXoiLCJtYWMiOiI1NmUwY2Y4YTkzMGI4ZjIwMjQxYzk4ZmQzMmViZjM4YTdjMDAwN2I4YmFiZTA2YjFkZGRhYjYwMzc3M2U5ZTUzIiwidGFnIjoiIn0%3D; expires=Mon, 21 Apr 2025 22:05:07 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IjI5d3l4dEh4bDF4NHkybHNuc1J3TlE9PSIsInZhbHVlIjoibjc1NTBYbW5ZQWJVbWJlQVIwdDl1NDNOMjFINExoUW9NN1F0SjlsUFJvWW1saHlraGJ1cHRtc3lXTEdCZjh6aW1uVm1FM" 1 => "24houranswers_session=eyJpdiI6IjdVNWxnY0xFMU5kcFFxT1BIWEJXZGc9PSIsInZhbHVlIjoiWUVhS1FidHBKcUcvTS9WNzdwNWxGM3orTXkxcUI1b21ZSTdHTGkzS2dJQ2J6SzhlV0d2OVQ2K1lHSjR3RnlLN3E4enJGa1pjZk5sbDJ5WTZ6Q1FWL0pYYVpqN2toQTZRdnhvRS9iRGN6M1VpZDFwRWNNV0l0L1h4TkkrRlJxbEEiLCJtYWMiOiI4ZWIyMjQzNGU2MmU5MzVmOTdjOWFhZTFhNWM0NjVkN2JmMWQ5ZTllNzMxZTU0NjM5NmE1ZDA2N2Q3ZmJiNzU1IiwidGFnIjoiIn0%3D; expires=Mon, 21 Apr 2025 22:05:07 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IjdVNWxnY0xFMU5kcFFxT1BIWEJXZGc9PSIsInZhbHVlIjoiWUVhS1FidHBKcUcvTS9WNzdwNWxGM3orTXkxcUI1b21ZSTdHTGkzS2dJQ2J6SzhlV0d2OVQ2K1lHSjR3Rn" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjI5d3l4dEh4bDF4NHkybHNuc1J3TlE9PSIsInZhbHVlIjoibjc1NTBYbW5ZQWJVbWJlQVIwdDl1NDNOMjFINExoUW9NN1F0SjlsUFJvWW1saHlraGJ1cHRtc3lXTEdCZjh6aW1uVm1FM0YyTzBxWFdnMmVrT204QStqYmJ5V0x0bllUODJIaTJsRnRFK2g5cnBnakUzWTlBVVFMa0VrQ29idXoiLCJtYWMiOiI1NmUwY2Y4YTkzMGI4ZjIwMjQxYzk4ZmQzMmViZjM4YTdjMDAwN2I4YmFiZTA2YjFkZGRhYjYwMzc3M2U5ZTUzIiwidGFnIjoiIn0%3D; expires=Mon, 21-Apr-2025 22:05:07 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IjI5d3l4dEh4bDF4NHkybHNuc1J3TlE9PSIsInZhbHVlIjoibjc1NTBYbW5ZQWJVbWJlQVIwdDl1NDNOMjFINExoUW9NN1F0SjlsUFJvWW1saHlraGJ1cHRtc3lXTEdCZjh6aW1uVm1FM" 1 => "24houranswers_session=eyJpdiI6IjdVNWxnY0xFMU5kcFFxT1BIWEJXZGc9PSIsInZhbHVlIjoiWUVhS1FidHBKcUcvTS9WNzdwNWxGM3orTXkxcUI1b21ZSTdHTGkzS2dJQ2J6SzhlV0d2OVQ2K1lHSjR3RnlLN3E4enJGa1pjZk5sbDJ5WTZ6Q1FWL0pYYVpqN2toQTZRdnhvRS9iRGN6M1VpZDFwRWNNV0l0L1h4TkkrRlJxbEEiLCJtYWMiOiI4ZWIyMjQzNGU2MmU5MzVmOTdjOWFhZTFhNWM0NjVkN2JmMWQ5ZTllNzMxZTU0NjM5NmE1ZDA2N2Q3ZmJiNzU1IiwidGFnIjoiIn0%3D; expires=Mon, 21-Apr-2025 22:05:07 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IjdVNWxnY0xFMU5kcFFxT1BIWEJXZGc9PSIsInZhbHVlIjoiWUVhS1FidHBKcUcvTS9WNzdwNWxGM3orTXkxcUI1b21ZSTdHTGkzS2dJQ2J6SzhlV0d2OVQ2K1lHSjR3Rn" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "0WxAdspx4toFJd7ScXT5Qmi2j32XCIzGPXdA50Ai" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Mathematics/Calculus/39133" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Calculus/39133" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]