Answer to Question #17873 in Calculus for hsd

Question

for the function (x^3)/(e^(1-x^(2))
(a) Determine the domain D of f.
(b) Is the function even (i.e. f(-x) = f(x) for all x), is it odd (i.e. f(-x) = -f(x) for all x) or neither?
(c) Determine all critical points of f.