S. Finding an Equation of a Tangent Line Exercises 55-58, (a) find an equation of the tanger line to the graph of the function at the given poi (b) use a graphing utility to graph the function a its tangent line at the point, and (c) use the tang feature of a graphing utility to confirm your resu ating d the Function aplify Point 55. f(x) =2x4 5x-3 (1, 0) (2, 2) 56. y x3- 3x 2 57. f(x) (1, 2) (1, -4) 58. y (x - 2) (x2 3x) Horizontal Tangent Line In Exercises determine the point(s) (if any) at which the of the function has a horizontal tangent line 60. y x x 59. y x4-2x2 3 Heg cises ction of a 62. y x2 +9 61. y = 63. y x+ sin x, 0 x< 27T 64. y 3x + 2 cos x, 0 x < 2 Finding a Value In Exercises 65-6 such that the line is tangent to the gra -%

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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57 part a 

S.
Finding an Equation of a Tangent Line
Exercises 55-58, (a) find an equation of the tanger
line to the graph of the function at the given poi
(b) use a graphing utility to graph the function a
its tangent line at the point, and (c) use the tang
feature of a graphing utility to confirm your resu
ating
d the
Function
aplify
Point
55. f(x) =2x4 5x-3 (1, 0)
(2, 2)
56. y x3- 3x
2
57. f(x)
(1, 2)
(1, -4)
58. y (x - 2) (x2 3x)
Horizontal Tangent Line In Exercises
determine the point(s) (if any) at which the
of the function has a horizontal tangent line
60. y x x
59. y x4-2x2 3
Heg
cises
ction
of a
62. y x2 +9
61. y =
63. y x+ sin x, 0 x< 27T
64. y 3x + 2 cos x, 0 x < 2
Finding a Value In Exercises 65-6
such that the line is tangent to the gra
-%
Transcribed Image Text:S. Finding an Equation of a Tangent Line Exercises 55-58, (a) find an equation of the tanger line to the graph of the function at the given poi (b) use a graphing utility to graph the function a its tangent line at the point, and (c) use the tang feature of a graphing utility to confirm your resu ating d the Function aplify Point 55. f(x) =2x4 5x-3 (1, 0) (2, 2) 56. y x3- 3x 2 57. f(x) (1, 2) (1, -4) 58. y (x - 2) (x2 3x) Horizontal Tangent Line In Exercises determine the point(s) (if any) at which the of the function has a horizontal tangent line 60. y x x 59. y x4-2x2 3 Heg cises ction of a 62. y x2 +9 61. y = 63. y x+ sin x, 0 x< 27T 64. y 3x + 2 cos x, 0 x < 2 Finding a Value In Exercises 65-6 such that the line is tangent to the gra -%
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