What is the differentiation of $sin x^2$ ?

Solution :

We have, y = $sin x^2$

Differentiating with respect to x by using chain rule,

$dy\over dx$ = $cos x^2$.(2x)

$dy\over dx$ = 2x.$cos x^2$

Hence, the differentiation of $sin x^2$ with respect to x is 2x.$cos x^2$

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Questions for Practice

What is the differentiation of $e^{sinx}$ ?

What is the differentiation of sin square x or $sin^2x$ ?

What is the differentiation of 1/sinx ?

What is the differentiation of cosx sinx ?

What is the differentiation of log sin x ?