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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
Let f(x)=x∣x∣f(x)=x|x| and g(x)=sin⁡xg(x)=\sin x.
Statement-1 : gof is differentiable at x=0x=0 and its derivative is continuous at that point.
Statement-2 : gof is twice differentiable at x=0x=0. [2009]
View answer and explanation
Correct option: B
Statement-1 is true, Statement-2 is false.
Option B is correct. gof is differentiable at x=0 and its derivative is continuous at that point, but gof is not twice differentiable at x=0.

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