The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find the exact values. You must show your work. If an answer does not exist, write DNE and explain why. 1) dx 3) X dx g(x) g'(x) f(x) f'(x) | | -1/2 1/4 -1/4 1 {cos [Tg(x)]} x=1/4 = 2 [(x)]- 2) In dx ef(x) -1/4 3 {arctan [arcsin(4x)]} |x=1/4 = 7 -2 2 1 3
The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find the exact values. You must show your work. If an answer does not exist, write DNE and explain why. 1) dx 3) X dx g(x) g'(x) f(x) f'(x) | | -1/2 1/4 -1/4 1 {cos [Tg(x)]} x=1/4 = 2 [(x)]- 2) In dx ef(x) -1/4 3 {arctan [arcsin(4x)]} |x=1/4 = 7 -2 2 1 3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Question
![The following table gives
some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find the exact values. You
must show your work. If an answer does not exist, write DNE and explain why.
1)
d
dx
X
1/4
-1/4
{cos [Tg(x)]}
d
2) In
dx
- X
ef(x)
g(x) g'(x) | f(x) | ƒ'(x)
-1/2 -2
|x=1/4
11.
=
x== -1/4
d
3) {arctan [arcsin(4x)]}
dx
3
1
=
|x=1/4
7
2
1
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F117e0f8d-e2b6-4be9-a913-8982ea60f43e%2F67e8ea49-5b2b-4139-bcab-48dcc7762c34%2F3k49zca_processed.png&w=3840&q=75)
Transcribed Image Text:The following table gives
some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find the exact values. You
must show your work. If an answer does not exist, write DNE and explain why.
1)
d
dx
X
1/4
-1/4
{cos [Tg(x)]}
d
2) In
dx
- X
ef(x)
g(x) g'(x) | f(x) | ƒ'(x)
-1/2 -2
|x=1/4
11.
=
x== -1/4
d
3) {arctan [arcsin(4x)]}
dx
3
1
=
|x=1/4
7
2
1
3
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