Solution forizontal tangents occur where the derivative is zero. We have - 14 (x²) + (9) 4x Thus = 0 if x = 0 or = 0, that is, x = ± st). The corresponding points are then the following. mallest x-value (x, y) = (x, y) = (x, y) = argest x-value . So the given curve has horizontal tangents when x = (enter your answers as a comma-separated
Solution forizontal tangents occur where the derivative is zero. We have - 14 (x²) + (9) 4x Thus = 0 if x = 0 or = 0, that is, x = ± st). The corresponding points are then the following. mallest x-value (x, y) = (x, y) = (x, y) = argest x-value . So the given curve has horizontal tangents when x = (enter your answers as a comma-separated
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 68E
Related questions
Question
2
![Example 6
Video Example <
Find the points on the curve y = x² - 14x² + 9 where the tangent line is horizontal.
y
W.
Solution
Horizontal tangents occur where the derivative is zero. We have
- 14 (x²)+(9)
dy d
dx dx
dy
Thus = 0 if x = 0 or
list). The corresponding points are then the following.
smallest x-value
(x, y) =
largest x-value
= 4x
(x, y) =
(x, y) =
= 0, that is, x = t
. So the given curve has horizontal tangents when x=
(enter your answers as a comma-separated](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02fb0e0c-a25a-4686-b3be-6a15856d7f54%2F8c393268-e01d-48bf-80db-14c554a93f93%2Fnjxjkcj_processed.png&w=3840&q=75)
Transcribed Image Text:Example 6
Video Example <
Find the points on the curve y = x² - 14x² + 9 where the tangent line is horizontal.
y
W.
Solution
Horizontal tangents occur where the derivative is zero. We have
- 14 (x²)+(9)
dy d
dx dx
dy
Thus = 0 if x = 0 or
list). The corresponding points are then the following.
smallest x-value
(x, y) =
largest x-value
= 4x
(x, y) =
(x, y) =
= 0, that is, x = t
. So the given curve has horizontal tangents when x=
(enter your answers as a comma-separated
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill