Given the function f(x)=[e^(x^2)]/[x^2 -2] , find all the key features

euro94

1. The problem statement, all variables and given/known data
Given the function f(x)=[e^(x^2)]/[x^2 -2]
find all intercepts
find the critical points
does the function have a horizontal asymptote? justify answer
find local max and min points


2. Relevant equations



3. The attempt at a solution
to find x-intercepts, let y=0, therefore no x-intercepts?
for critical points, find the derivative, which is f'(x)=2xe^(x^2)/2x and let it equal to zero, which shows no critical points..
stuck on this question..

Villyer

Your f'(x) is incorrect. You need to use the quotient rule.