class 12

Math

Calculus

Continuity and Differentiability

Let $f(x)=x∣x∣andg(x)=s∈x$ Statement 1 : $gof$ is differentiable at $x=0$ and its derivative is continuous at that point Statement 2: $gof$ is twice differentiable at $x=0$

- Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for statement 1
- Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for statement 1.
- Statement 1 is true, statement 2 is false.
- Statement 1 is false, Statement 2 is true