For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.) π 5 ₁(2n + 1) + X Solution or Explanation f(x) = x + 2 sin x has a horizontal tangent when f'(x) = 0 1 + 2 cos x = 0 Check Score (2n + 1) — Need Help? Submit Answer 7T 7. This allows us to write the solutions in the more compact equivalent form (2n + 1)π ± n is an integer. 3' Hide Answer X Hide Solution Read It cos x = - Try Another 1/ 2π ⇒ x = For what values of x does the graph of f(x) = x - 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.) || + 2an or 47 2π 7 47 3 + 2πn, where n is an integer. Note that and are t units from 3 3 Slox+ 2 2 0⁰ VOO! ca Op ISYS FOO Sy Re Se Ve Tri Gr
For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.) π 5 ₁(2n + 1) + X Solution or Explanation f(x) = x + 2 sin x has a horizontal tangent when f'(x) = 0 1 + 2 cos x = 0 Check Score (2n + 1) — Need Help? Submit Answer 7T 7. This allows us to write the solutions in the more compact equivalent form (2n + 1)π ± n is an integer. 3' Hide Answer X Hide Solution Read It cos x = - Try Another 1/ 2π ⇒ x = For what values of x does the graph of f(x) = x - 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.) || + 2an or 47 2π 7 47 3 + 2πn, where n is an integer. Note that and are t units from 3 3 Slox+ 2 2 0⁰ VOO! ca Op ISYS FOO Sy Re Se Ve Tri Gr
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...
Related questions
Question
![For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.)
5
π(2n + 1) − 753, 7(2n + 1) + 75
3¹
3
Solution or Explanation
f(x) = x + 2 sin x has a horizontal tangent when f'(x) = 0 ⇒ 1 + 2 cos x = 0
π
T. This allows us to write the solutions in the more compact equivalent form (2n + 1) +
Check Score
Hide Answer
Need Help? Read It
Submit Answer
Hide Solution
cos x =
Try Another
3'
1/1/12
2π
⇒ x =
3
n is an integer.
4π
+ 2πn or + 2лn, where n is an integer. Note that and
3
12
For what values of x does the graph of f(x) =
= X- 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.)
|
4π
3
2π
3
π
are t units from
3
+
X
|0|0
•|·•
0⁰
√o 0!
ca
Op
Fu
Re
Se
Ve
Tri
Gr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb223cdae-a5da-4961-93b3-c87477d4eb1e%2Fece9d8f8-a777-4706-ae21-1252ca367416%2Fg935zo_processed.png&w=3840&q=75)
Transcribed Image Text:For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.)
5
π(2n + 1) − 753, 7(2n + 1) + 75
3¹
3
Solution or Explanation
f(x) = x + 2 sin x has a horizontal tangent when f'(x) = 0 ⇒ 1 + 2 cos x = 0
π
T. This allows us to write the solutions in the more compact equivalent form (2n + 1) +
Check Score
Hide Answer
Need Help? Read It
Submit Answer
Hide Solution
cos x =
Try Another
3'
1/1/12
2π
⇒ x =
3
n is an integer.
4π
+ 2πn or + 2лn, where n is an integer. Note that and
3
12
For what values of x does the graph of f(x) =
= X- 2 sin x have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.)
|
4π
3
2π
3
π
are t units from
3
+
X
|0|0
•|·•
0⁰
√o 0!
ca
Op
Fu
Re
Se
Ve
Tri
Gr
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