# How many points in the interval [-a, a] does the instantaneous rate of change of f equal the average rate of change of f if #f(x)= e^(x^2)#?

##### 1 Answer

Aug 29, 2015

At one point.

#### Explanation:

Average rate of change of

The instantaneous rate of change of

So the question becomes:

How many solutions to

The answer is one (namely