Chapter 4.4, Problem 39E

linearize the following equation to get the function f(×)=x 3 sin x + 4 cos x = e^x - 3

part  C D

If f(x) = cos(2x), then f"

Find the derivatives of each of the functions in Exercises 51-62. In some cases it may be convenient to do some prelim- inary algebra. (These exercises involve hyperbolic functions and their inverses.) 51. f(x) = x sinh x3 52. f(x) = x sinh° x 53. f(x) = cosh(In(x² + 1)) 54. f(x) = 3 tanh?e* tanh ĩ 55. f(x) = /cosh² x+1 56. f(x) = Vsinh x 58. f(x) = tanh (tanx²) 57. f(x) = sinh¯'(x³) sinh-1x 59. f(x) = 60. f(x) = x/tanh¬1x cosh- 61. f(x) = sin(esi nh" x) 62. f(x) = cosh-'(cosh¬1 x)

Analyze and sketch the graph of f(x) = (cos x)/(1 + sin x).

PLS HELP ASAP ON ALL ASKED QUESTIONS.

In Exercises 1-4, find the first derivative of the function. 1. f(x) = V4 –x 2. f(x) = V9 - x?