answer asap with explanation

27. Consider the function h(x) = x2e-x2 [13 marks] a) Determine the properly simplified (factored) first derivative. b) Set the first derivative equal to zero and solve for x. c) Use a number line to show intervals of increase and decrease. d) Determine max min points. e) Evaluate these limits: lim h(x) and lim h(x) X - 0o x - -0o f) Use the information you have gathered and sketch the curve