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Let f(x)=x|x| and g(x)=sin x .Which of the following statement(s) is /are true? STATEMENT- 1: gof is differentiable at x =0 and its derivative is continuous at that point. STATEMENT- 2: gof is twice differentiable at x=0 

 

Option: 1

Both statements 1 and 2 are true


Option: 2

Both statements 1 and 2 are false


Option: 3

Statement -1 is true, but statement-2 is false  


Option: 4

 Statement – 1 is false ,but  statement -2 is true


Answers (1)

best_answer

(g \circ f)^{\prime}(x)=2|x| \cos x|x| \text { for all } x \in \mathbf{R}

\left.\right|^{x|x|} \text { is differentiable everywhere, but }|x| \text { is not differentiable at } \mathrm{x}=0

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Ritika Harsh

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