29. g'(x) 31. f'(x)= 33. h'(s) 15(1+3) 23x 35. f(x)=(x + 2)(2x - 1)*(16x +17) (x+1)*(9-x)...

 

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29. g'(x) 31. f'(x)= 33. h'(s) 15(1+√3) 2√3x 35. f(x)=(x + 2)(2x - 1)*(16x +17) (x+1)*(9-x) 37. f'(x)= 39. y=x+2 41. y=-48r-32 43. y=-12x + 13 45. y -4x (4x² + 1)2 24x (1-x²)³ 3 47. x=0:x=-1;x- 49. x 51. x=2 53. f(x)-6(3x + 5) 55. x) 180(3x + 1) 1226 NIM 57. K()=80+5)*(37 + 1) 59. /*(x)=(1+r)-M/2 61. 63. 6 65. a. $2,295 per year b. 10.4% per year 67. a. -12 pounds per dollar cial and life sciences (Hoffmann, Laur.... Dill R VATA 46. f(x)=x√2x + 3; x = 182/803 In Exercises 47 through 52, find all values of x= c so- that the tangent line to the graph of f(x) at (c, f(c)) will be horizontal. 47. f(x) = (x² + x)² 49. f(x)= x=-1 O ⠀ X (3x - 2)² √²-4x+5 51. f(x) = 52. f(x)=(x-1)³(2x + 3)³ 48. f(x)=x²(2²+x-3)² 2x+5 50. f(x) = (1-2x)³ In Exercises 53 and 54, differentiate the given function f(x) by two different methods, first by using the general power rule and then by using the product rule. Show that the two answers are the same. 53. f(x) = (3x + 5)² 54. f(x) = (7-4x)² In Exercises 55 through 60, find the second derivative of the given function. 55. f(x) (3x + 1)³ 57. h(1)-(²+5)* 59. f(x) = VI +² 56. f(1) = 2 St+11 58. y = (1 - 2x¹) 60. f(u) 1 (3u² - 1)² T 66. prt sc 67. t F f P 3 b 68. C Со 29. g'(x) 31. f'(x)= 33. h'(s) 15(1+√3) 2√3x 35. f(x)=(x + 2)(2x - 1)*(16x +17) (x+1)*(9-x) 37. f'(x)= 39. y=x+2 41. y=-48r-32 43. y=-12x + 13 45. y -4x (4x² + 1)2 24x (1-x²)³ 3 47. x=0:x=-1;x- 49. x 51. x=2 53. f(x)-6(3x + 5) 55. x) 180(3x + 1) 1226 NIM 57. K()=80+5)*(37 + 1) 59. /*(x)=(1+r)-M/2 61. 63. 6 65. a. $2,295 per year b. 10.4% per year 67. a. -12 pounds per dollar cial and life sciences (Hoffmann, Laur.... Dill R VATA 46. f(x)=x√2x + 3; x = 182/803 In Exercises 47 through 52, find all values of x= c so- that the tangent line to the graph of f(x) at (c, f(c)) will be horizontal. 47. f(x) = (x² + x)² 49. f(x)= x=-1 O ⠀ X (3x - 2)² √²-4x+5 51. f(x) = 52. f(x)=(x-1)³(2x + 3)³ 48. f(x)=x²(2²+x-3)² 2x+5 50. f(x) = (1-2x)³ In Exercises 53 and 54, differentiate the given function f(x) by two different methods, first by using the general power rule and then by using the product rule. Show that the two answers are the same. 53. f(x) = (3x + 5)² 54. f(x) = (7-4x)² In Exercises 55 through 60, find the second derivative of the given function. 55. f(x) (3x + 1)³ 57. h(1)-(²+5)* 59. f(x) = VI +² 56. f(1) = 2 St+11 58. y = (1 - 2x¹) 60. f(u) 1 (3u² - 1)² T 66. prt sc 67. t F f P 3 b 68. C Со

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48 fx x32x2x32 Answer fx x32x2x32 To find the derivative of fx use the power rule product rule and chain rule dfdx 3x22x2x32 2x32x2x32x1 Now to find t... View the full answer