GATE EC 2016 Set 1 Q3 — Calculus

Given the following statements about a function $f: \Bbb R \rightarrow \Bbb R$, select the right option:

P: If $f(x)$ is continuous at $x = x_0$ then it is also differentiable at $x = x_0$.

Q: If $f(x)$ is continuous at $x = x_0$ then it may not be differentiable at $x = x_0$.

R: If $f(x)$ is differentiable at $x = x_0$ then it is also continuous at $x = x_0$.