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Severity: Notice

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Function: _error_handler

File: /home/wiredfa1/public_html/application/controllers/Home.php
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Sponsor Area

Continuity And Differentiability

Question

$Find space dy over dx space when space straight x equals straight a space straight t squared comma space straight y equals 2 at.$

Solution

Here space straight x equals at squared space space space space space rightwards double arrow dx over dt equals 2 at Also space straight y equals 2 at space space space space space rightwards double arrow dy over dt equals 2 straight a Now space dy over dt equals fraction numerator dy over dt over denominator dx over dt end fraction fraction numerator 2 straight a over denominator 2 at end fraction equals 1 over straight t