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