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]}