0 0 votes Let $f$ be a real-valued function of a real variable defined as $f(x)=x^2$ for $x \geq 0$, and $f(x)=-x^2$ for $x<0$. Which one of the following statements is true? $f(x)$ is discontinuous at $x=0$ $f(x)$ is continuous but not differentiable at $x=0$ $f(x)$ is differentiable but its first derivative is not continuous at $x=0$ $f(x)$ is differentiable but its first derivative is not differentiable at $x=0$ Calculus gate2018-ee calculus continuity-and-differentiability + – Arjun 448 views answer comment Share Follow 0 reply Please log in or register to add a comment.
