My problem tonight is I don't have a firm enough grasp of e
The question is to find all local extreme values and determine if any are absolute
f(x) = x^2 e^-x^2
So I think f'(x) = x^2 (-2xe^-x^2) + 2xe^x^2
Now the critical point of (1-x^2) is x= 1 or x=-1 but I don't know what the critical point of the other part is
I am also not sure how to test for absoluteness and how do I know if it is a local min or max - how can I tell if the sign changes???
sorry lots of questions - but thanks for reading - hopefully you can help
a calculus beginner