+91-8076753736 support@wiredfaculty.com

A PHP Error was encountered

Severity: Notice

Message: Undefined variable: temp_qds

Filename: Questions_Page/Ncert_Question.php

Line Number: 320

Backtrace:

File: /home/wiredfa1/public_html/application/views/final/Questions_Page/Ncert_Question.php
Line: 320
Function: _error_handler

File: /home/wiredfa1/public_html/application/controllers/Home.php
Line: 235
Function: view

File: /home/wiredfa1/public_html/index.php
Line: 315
Function: require_once

Sponsor Area

Continuity And Differentiability

Question

Wired Faculty App

$Find space dy over dx space when space straight y equals straight v to the power of 4 over 4 space and space straight v equals 2 over 3 straight x cubed plus 7$

Solution

Here space straight y equals straight v to the power of 4 over 4 comma straight v equals 2 over 3 straight x cubed plus 7 equals 1 third left parenthesis 2 straight x cubed plus 21 right parenthesis therefore space space space space space space straight y equals 1 fourth open square brackets 1 third left parenthesis 2 straight x cubed plus 21 right parenthesis close square brackets to the power of 4 equals 1 over 324 left parenthesis 2 straight x cubed plus 21 right parenthesis to the power of 4 therefore space dy over dx equals 1 over 324.4 left parenthesis 2 straight x cubed plus 21 right parenthesis cubed. straight d over dx left parenthesis 2 straight x cubed plus 21 right parenthesis space space space space space space space space space space space space space equals 1 over 81 left parenthesis 2 straight x cubed plus 21 right parenthesis. left parenthesis 6 straight x squared plus 0 right parenthesis space space space space space space space space space space space space space equals fraction numerator 2 straight x squared left parenthesis 2 straight x cubed plus 21 right parenthesis cubed over denominator 27 end fraction

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation