+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

$Find space dy over dx space if space straight x to the power of 6 plus straight y to the power of 6 plus 6 straight x squared straight y squared equals 16.$

Solution

We space have space space space space space space space space space space space space space space space space space space straight x to the power of 6 plus straight y to the power of 6 plus 6 straight x squared straight y squared equals 16 Differentiating space both space sides space straight w. straight r. straight t space straight x comma space we space get comma space space space space space space space space space space space space space space space space space space space 6 straight x to the power of 5 plus 6 straight y to the power of 5 dy over dx plus 6 open parentheses straight x squared.2 straight y dy over dx plus straight y squared.2 straight x close parentheses equals 0 therefore space space space straight x to the power of 5 plus straight y to the power of 5 dy over dx plus 2 straight x squared straight y dy over dx plus 2 xy squared equals 0 therefore space space left parenthesis straight y to the power of 5 plus 2 straight x squared straight y right parenthesis dy over dx equals negative left parenthesis straight x to the power of 5 plus 2 xy squared right parenthesis therefore space space dy over dx equals negative fraction numerator straight x left parenthesis straight x to the power of 4 plus 2 straight y squared right parenthesis over denominator straight y left parenthesis straight y to the power of 4 plus 2 straight x squared right parenthesis end fraction

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation