For Exercise determine whether of the following statement is true or false, and explain why.

If f′(c) exists, f″(c) also exists.

Step 1 of 3 :

In this problem, we have to determine whether the statement is true or false and explain why.

Step 2 of 3 :

It is not necessary that if exist then also exist.

Let us take one example

Differentiate the function with respect to x