# How do you use the first and second derivatives to sketch #f(x)=e^(-x^2)#?

##### 1 Answer

#### Explanation:

Using the chain rule we can calculate:

So we can see that

The second derivative is positive for:

Considering the sign of the second derivative this critical point is a maximum, and

graph{e^-(x^2) [-1.293, 1.207, -0.15, 1.1]}