11. Find f ' ( x ) if f ( x ) = ( x3 + 2x + 4) 2. A. 12 (3x2 + 2) ( x3 + 2x + 4 ) B. 2x2 + 4x + 8 C. 2(3x2 + 2 ) ( x3 + 2x + 4 ) D. 3x2 + 2 12. What is the derivative of h(x) = (3x2 + 4)(2x - 3)? A. 9x2 - 18x - 4 B. 12x C. 12x2 - 18x D. 18x2 - 18x + 8 13. In using the chain rule to calculate the derivative of f(x) = sin(4x + 1), you would let u stand for: A. u = sin x B. u = 4x + 1 C. U = 4x nII=V14. The radius, r, of a circle is decreasing at a rate of 5 centimeters per minute. Find the rate of change of the area, A, when the radius is 6. dA A. - -360# sq cm/min - 360# sq cm/min C. MA . = 60# 5q cm/min dA -6075q cm/min 15. Where is f (x) = -|x] differentiable? A. (-00,20) B. (0,00) C. (-DO, 0) U (0, 20) D. (-20,0) 16. What is the derivative of cot x? A. -cscox B. -csc x col x C. tan x D. -tan x 17. Which of the following are true statements? A. continuity implies differentiability B. differentiability implies continuity C. both a and b D. none of these 18. Which of the following represents the derivative of f(x) at x = 4, if ((x) = x2- 37 1. "(a) = Em ([h+ 4)2 - 3) - (42 -3) 11. F(a) = lim (2 - 3) - (42 - 3) x- 4 Ill. (a) . lim (4 + 1)2 - 3) - (14- m2 - 3) 4h A. I, II, and Ill B. I only C. II only19. Find the derivative of the function f(x) = 9x sin x + 5 cos x. A. f(x) = 9x sin x - 4 cos x B. f(x) = 9x cos x + 4 sin x C. f(x) = 9x sin x - 9 cos x D. f(x) = -9x sin x + 4 cos x 20. Find an equation to the tangent line for the graph of f(x) = v3x2 - 2 at the point (3, 5). A. y = 1.8x - 0.4 B. y = -1.8x - 0.4 C. y = 1.8x + 0.4 D. y = -1.8x + 0.4 21. Differentiate f(x) = x3 cos x A. f(x) = 3x2 cos x - x3 sin x B. f(x) = x3 sin x - 3x 4 cos x C. f(x) = -x3 sin x - 3x 4 cos x D. f(x ) = -x3 sin x + 3x 4 cos x