JEE Math Practice Question
Let $$f\left( x \right) = x\left| x \right|$$ and $$g\left( x \right) = \sin x.$$ Statement-1: gof is differentiable at $$x=0$$ and its derivative is continuous at that point. Statement-2: gof is twice differentiable at $$x=0$$.
- A.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
- B.Statement-1 is true, Statement-2 is false
- C.Statement-1 is false, Statement-2 is true
- D.Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1
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