Let $f(x)=\left\{\begin{array}{l}x, x \geq 0 \ x^2, x

Question

Let $f(x)=\left\{\begin{array}{l}x, x \geq 0 \ x^2, x<0\end{array}ight.$. Then $f$ is

Professor PC Thomas Classes · Answer

At $x=0$, left-hand limit equals right-hand limit, ensuring continuity. But left derivative ($0$) $
eq$ right derivative ($1$), so not differentiable.