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Continuity And Differentiability

Question
CBSEENMA12034764

Find space dy over dx space where space straight x equals 4 straight t comma space straight y equals 4 over straight t

Solution
straight x equals 2 at squared comma space straight y equals at to the power of 4
therefore space dx over dt equals 4 at comma space dy over dt equals 4 at cubed
Now space dy over dx equals fraction numerator dx over dt over denominator dy over dt end fraction equals fraction numerator 4 at over denominator 4 at cubed end fraction equals straight t squared

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