1. (12 Points) Find the following derivatives. You may use any “standard” facts about differentiation. (i) d (u 3 + 2)17 du d (ii) dx e sin(x)+19

2 2 2. (10 Points) Consider the equation y 2 = (x 2 + 3)(x 3 + 8) This equation defines a curve in the plane. dy (a) Calculate dx

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