A First Course in Differential Equations with Modeling Applications (MindTap Course List)
11th Edition
ISBN: 9781305965720
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter A, Problem 48E
To determine
The derivative of the function
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Please, help me to solve problem num 41 step by steps.
Find the derivatives in Exercises 39–44.a. by evaluating the integral and differentiating the result. b. by differentiating the integral directly.
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
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1
42. f(x) = g(x) = 4x + 1
Let f(x), g(x) and h(x) be the functions from Problem A.1. Find the derivative of the
following function with respect to x:
derivative(x) = f(x) . g(x) + f(x) . h(x) - g(x) . h(x)
Chapter A Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Ch. A - In Problems 1 and 2 evaluate the given quantity....Ch. A - Prob. 2ECh. A - Prob. 3ECh. A - Prob. 4ECh. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10E
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - In Problems 25 and 26 use the indicated...Ch. A - Prob. 26ECh. A - Prob. 27ECh. A - Prob. 28ECh. A - Prob. 29ECh. A - Prob. 30ECh. A - Prob. 31ECh. A - Prob. 32ECh. A - Prob. 33ECh. A - Prob. 34ECh. A - Show that the beta function is symmetric in x and...Ch. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42ECh. A - Prob. 43ECh. A - Prob. 44ECh. A - Prob. 45ECh. A - Prob. 46ECh. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56E
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