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Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q71
Let f(x)=x|x|, g(x)= sin x and h(x)=(g o f)(x). Then
Let $\displaystyle f(x)=x|x|, g(x)=\sin x$ and $\displaystyle h(x)=(g o f)(x)$. Then
Official answer
(3)
$\displaystyle h^{\prime}(x)$ is continuous at $\displaystyle x=0$ but it is not differentiable at $\displaystyle x=0$.
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.