Question

Say true or false.

Every continuous function is always differentiable.

• A. True
• B. False

Answer 1

The correct option is B False

If a function $f\left(x\right)$ is differentiable at a point $a$, then it is continuous at the point $a$. But the converse is not true.

$f\left(x\right)=|x|$ is contineous but not differentiable at $x=0.$
Therefore, the given statement is false.