Answer to Question #17875 in Calculus for hsd

Question

for the function (x^3)/(e^(1-x^(2))
(a) Determine all local maxima, minima and all inflection points with their function values.
(b) Are there any vertical asymptotes? Determine the behaviour of f as x approaches infinity and x approaches negative infinity
(c) Determine the x- and the y-intercepts.