1. Use the chain rule to find the derivative of the following functions. You DO NOT need to expand your answers for parts a and c. DO NOT give decimal answers to b and d. a. f(x) = 2(2x5 - 10x9)18 b. Find f'(-1) c. g(x) = 4V2x3 + 7x8 d. Find g'(1) 2. Find the followings. You DO NOT need to expand your answer. Let f (x) = 5e9x6-3x* a. Find f' (x) b. Find f'(1) (Give the exact answer. DO NOT give a decimal approximation.) 3. Find the followings. Let g (x) = sin(x3). a. Find g'(x) b. Find g' (=) 4. If f (x) = 5x2 In(7x) then find the followings. a. f'(x) b. f"(x) c. f"(x) d. f( +) (x) e. f (5) (x) 5. Given the equation -11x7 + 2x33y + y9 = -8 a. Find dx b. Find the equation of the tangent line to the curve at (1, 1). Write your answer in y = mx + b format 6. Find the slope of the tangent line to the curve -4x2 + 4xy + y = -25 at the point (2, -1)