+91-8076753736 support@wiredfaculty.com

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

$Find space dy over dx space when space straight x equals ct comma space straight y equals straight c over straight t$

Solution

Here space straight x equals ct space space space space space space space space space space space rightwards double arrow dx over dt equals straight c Also space straight y equals straight c over straight t equals ct to the power of 1 space space space space space space space space space rightwards double arrow dy over dt equals negative ct to the power of negative 2 end exponent equals negative straight c over straight t squared Now space dy over dx equals fraction numerator begin display style dy over dt end style over denominator begin display style dx over dt end style end fraction equals fraction numerator negative straight c over straight t squared over denominator straight c end fraction equals negative 1 over straight t squared