What is the differentiation of sin square x or \(sin^2x\) ?

Solution : The differentiation of sin square x with respect to x is sin 2x.

Explanation :

We have, y = \(sin^2 x\)

Differentiating by using chain rule,

\(dy\over dx\) = 2 sin x cos x

\(dy\over dx\) = sin 2x

Hence, \(dy\over dx\) = sin 2x


Questions for Practice

What is the differentiation of \(e^{sinx}\) ?

What is the differentiation of cosx sinx ?

What is the differentiation of 1/sinx ?

What is the differentiation of \(sin x^2\) ?

What is the differentiation of log sin x ?

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