Exercise To Try 8 For the curve f (x) = 2r-9a2 + 12r - 5, find (i) the local marimum and minimum values, (ii), the intervals on which f is increasing or decreasing, and (ii) the intervals of concavity and the inflection points. (a) Find critical points: (find where f'(r) = 0 or where f'(x) is undefined). (b) Use 2nd derivative test to determine which of the critical points are local min/max. (c) Use the 1st derivative test for any inconclusive points, and to find where f(r) is in- creasing/decreasing.
Exercise To Try 8 For the curve f (x) = 2r-9a2 + 12r - 5, find (i) the local marimum and minimum values, (ii), the intervals on which f is increasing or decreasing, and (ii) the intervals of concavity and the inflection points. (a) Find critical points: (find where f'(r) = 0 or where f'(x) is undefined). (b) Use 2nd derivative test to determine which of the critical points are local min/max. (c) Use the 1st derivative test for any inconclusive points, and to find where f(r) is in- creasing/decreasing.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
Related questions
Question
![Exercise To Try 8 For the curve f (x) = 2r – 9a2 + 12r – 5, find (i) the local marimum
and minimum values, (ii), the intervals on which f is increasing or decreasing, and (iii) the
intervals of concavity and the inflection points.
(a) Find critical points: (find where f'(a) = 0 or where f'(7) is undefined).
(b) Use 2nd derivative test to determine which of the critical points are local min/max.
(c) Use the 1st derivative test for any inconclusive points, and to find where f(x) is in-
creasing/decreasing.
(d) Use f(z)" to determine where the function is concave up (CU) or concave down (CD),
and find any inflection points.
Can you draw a rough sketch
of the curve?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb334e210-ad49-4729-b04c-2a7dab70d710%2F00348a3b-a693-40f4-84bf-1ecec492ebe7%2Fc5i2kqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise To Try 8 For the curve f (x) = 2r – 9a2 + 12r – 5, find (i) the local marimum
and minimum values, (ii), the intervals on which f is increasing or decreasing, and (iii) the
intervals of concavity and the inflection points.
(a) Find critical points: (find where f'(a) = 0 or where f'(7) is undefined).
(b) Use 2nd derivative test to determine which of the critical points are local min/max.
(c) Use the 1st derivative test for any inconclusive points, and to find where f(x) is in-
creasing/decreasing.
(d) Use f(z)" to determine where the function is concave up (CU) or concave down (CD),
and find any inflection points.
Can you draw a rough sketch
of the curve?
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 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
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning