27. Consider the function h(x) = 2x²e-x² [13 marks] a) In two or three steps, write the properly simplified (factored) f

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27 Consider The Function H X 2x E X 13 Marks A In Two Or Three Steps Write The Properly Simplified Factored F 1 (30.05 KiB) Viewed 69 times

27. Consider the function h(x) = 2x²e-x² [13 marks] a) In two or three steps, write the properly simplified (factored) first derivative. b) State the x values that make the first derivative equal to zero. c) Use this simple number line to show intervals of increase and decrease. d) State the exact y-coordinates for the values you found in b). e) Evaluate these limits: lim h(x) and lim_h(x) x →∞0 X4-8 f) Use the information you have gathered and sketch the curve.