JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

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Analyzing +4 | -1

Let

f(x)=x|x|, g(x)=\sin x

and

h(x)=(g o f)(x)

. Then

View answer and explanation

Correct option: C

\mathrm{h}^{\prime}(\mathrm{x})

is continuous at

\mathrm{x}=0

but it is not differentiable at

x=0

Option C is correct. h'(x) is continuous at x=0 but not differentiable because h''(x) has different left and right hand limits at x=0.

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