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)
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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2107c9d4-03cf-46c4-aa9a-f455311ac0bc%2Fc15ec907-1d14-4671-a559-9fb68333657c%2F1nmqaqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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