# 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.$$cos x^2$$

### 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 ?