1. The problem statement, all variables and given/known data Find the maximum and minimum values on the function: y= (x^2)(e^(-x)) on the interval [-10, 10]. 2. Relevant equations 3. The attempt at a solution f'(x)= 2x*(e^(-x)) - (e^(-x)*(x^2)) f'(x)= x*e^(-x) (2- x) Solve for zero, for critical points? I got two solutions: x=0 or x= 2 Plugging these two critical points and the endpoints on the interval back into f(x), I get: (0, 0) - Minimum (2, 4/(e^2) ) (-10, 100*(e^10) ) - Maximum (10, 100/(e^10) ) Is this right? Thank you.