Answered: Finding an Equation In Exercises 57-64,…

Finding an Equation In Exercises 57-64, find an equation for the function f that has the given derivative and whose graph passes through the given point. 57. f'(x) = 2x(4x² - 10)2, (2, 10)

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.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 12CR

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Question

Please solve 57 using U-Substitution and show how the answer is (1/12)(4x^2-10)^3 -8

Finding an Equation In Exercises 57-64, find
an equation for the function f that has the given
derivative and whose graph passes through the
given point.i A
57. f'(x) = 2x(4x² – 10)², (2, 10)
%3D
58. f'(x) = – 2x/8 – x², (2, 7)
%3D
-
-
59. f'(x) = – sin, (0, 6)
-
60. f'(x) = sec2 2x,
, ( 2)
62. f'(x) = x²e-0.2 (0.)
64. f'(x) = 1.252r, (1,)
61. f'(x) = 2e¬/4, (0, 1)
%3D
%3D
63. f'(x) = 0.4*/3, (0, ±)
%3D
> 16

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