(x5+3)2 D. ('(x) = 8(3+4x5 ) ( x5 + 3)2 30. Find f'(x) if /(x) = 7x4 cos x A. 28x3sin x B. -28x3 sinx C. 28x cos x - 7x^sin x D. -28x cos x + 7x4sinx 31. The value of the derivative of a function at a point is the slope of a line to the function at that point. A. parallel B. perpendicular C. cotangent D. tangent 32. The derivative of the sum of two functions is the sum of their derivatives. A. True B. False 33. Find the equation of the tangent line to the graph of the function f(x) = x3 + 2x at the point (1, 3). A. y = 3x2 + 2 B. y = 5x - 5 C. y = 3x - 2 D. y = 5x - 234. Find the derivative of (x) = A. I'(X) = - x7 B. 1'(X ) = TO C. 1(x ) = -78 D. ('(x) = - 78 35. Suppose the position function for a free-falling object on a certain planet is given by s(1) = -121% + Vol + So. A silver coin is dropped from the top of a building that is 1372 feet tall. Find the instantaneous velocity of the coin when t = 4. A. -96 fu/sec B. -32 ft/sec C. -20 ft/sec D. -144 ft/sec 36. How would you denote f '(2) if f(x) = 3x2 + 6x - 1? 1(x ) -1(2) A. lim 1+ 2 B. lim 1(x) - 1(2) x+2 C. lim 1(2+ h) - 1(2) D. lim 1(x) - 1(2) 1+0 x - 2 37. If f (x) is differentiable at x = 2, then f(x) is continuous at x = 2. A. True B. False 38. Evaluate the derivative of the function /(x) = 6x + 3 5x - 1 at the point (5, 4) A. -8 7 B. 192 21 C. 26 7 D. 19239. What is the derivative of the function f(x) = x3 + 2x2 - 1 +52 A. f'(x) = x2+2x -1 B. f' (x) = 3x2 +4x -72+5 C. f' (x) = 3x2 +4x - 1 D. f'(x) =3x2 +4x+ 40. Find f"(x), if f(x) = g(x)h(x). A. g"(x)h(x) + h"(x)g(x) B. g'(x) h'(x)+ h" (x)g (x) C. g"(x) h" (x) D. g" (x) h(x) + 2g'(x)h'(x) + h" ( x )g (x )