Question

Say True or False Every Continuous Function Is Differentiable.

• A. True
• B. False

Answer 1

The correct option is B False

Let us take an example function which will result into the testing of statement .

$f\left(x\right)=\left|x\right|$

is continuous but not differentiable at x = 0.

If a function $f\left(x\right)$ is differentiable at point a, then it is continuous at point, but its converse need not to be true.

Hence, the given statement is false.