First Course in Differential Equations (Instructor's)
11th Edition
ISBN: 9781305965775
Author: ZILL
Publisher: CENGAGE L
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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.
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)
Question 16.
Obtain the derivative of the function f(x)
(8z +9)-8 in the form
A(Bx + C)P, where A, B, C, D are integers and B and C have no common factors.
A
B =
C:
D =
Chapter A Solutions
First Course in Differential Equations (Instructor's)
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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- Find derivatives of the functions defined as follows. y=-3e3x2+5arrow_forwardFor 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 + 1arrow_forward40. f(x) = ln(1-x² + 2x²); x = 1arrow_forward
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