For f(x) and g(x) given in Problems 35–38, find(a) (f + g)(x)(b) (f – g)(x)(c) (f'g)(x)(d) (f/g)(x)35. f(x) = 3x g(x) = x'36. f(x) = Vx g(x) = 1/x37. f(x) = V2x g(x) = x²38. f(x) = (x – 1)? g(x) = 1 – 2xClick to%3DFor f(x) and g(x) given in Problems 39–42, find(a) (fº g)(x)(b) (g •f)(x)(c) ƒ(f(x))(d) f(x) = (f·f)(x)39. f(x) = (x – 1)³ g(x) = 1 – 2x40. f(x) = 3x g(x) = x' – 141. f(x) = 2Vx g(x) = x* + 5%3D%3D142. f(x) = g(x) = 4x + 1

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For f(x) and g(x) given in Problems 35-38, find (a) (f + g)(x) (b) (f- g)(x) (c) (f g)(x) (d) (f/g)(x) 35. f(x) = 3x g(x) = x' CI %3D

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 26E: Find derivatives of the functions defined as follows. y=4-5x+2

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Question

For f(x) and g(x) given in Problems 35–38, find
(a) (f + g)(x)
(b) (f – g)(x)
(c) (f'g)(x)
(d) (f/g)(x)
35. f(x) = 3x g(x) = x'
36. f(x) = Vx g(x) = 1/x
37. f(x) = V2x g(x) = x²
38. f(x) = (x – 1)? g(x) = 1 – 2x
Click to
%3D
For f(x) and g(x) given in Problems 39–42, find
(a) (fº g)(x)
(b) (g •f)(x)
(c) ƒ(f(x))
(d) f(x) = (f·f)(x)
39. f(x) = (x – 1)³ g(x) = 1 – 2x
40. f(x) = 3x g(x) = x' – 1
41. f(x) = 2Vx g(x) = x* + 5
%3D
%3D
1
42. f(x) = g(x) = 4x + 1

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