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27. Consider the function h(x) = x2e-x2 [1 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 -+00 X - -00 f) Use the information you have gathered and sketch the curve