#### To determine

**To state:**

Whether the given statement,"If f is continuous at a then f is differentiable at a" is true or false.

#### Answer

The given statement is false.

#### Explanation

In general, if f is differentiable at a, then f is continuous at a. Converse is not true.

Counter example: fx=2 |x|

This is continuous at x = 0 but not differentiable at x = 0.

Since at x =0, the graph of 2|x| has a corner point, it is not differentiable at that point.

**Final statement:**

The given statement is false.