Using the First Derivative Test, what are the local maximum/minimum for the following function? f(x) = 2 23² 3 - 10x² +48x +1 2 There is a local minimum at x=4 and a local maximum at x=6. There is a local maximum at x=4 and no local minimum. There is a local maximum at x=6 and no local minimum. There is a local maximum at x=4 and a local maximum at x=6. There is a local maximum at x=4 and a local minimum at x=6.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 14CR
icon
Related questions
Question
Using the First Derivative Test, what are the local maximum/minimum for the
following function?
f(x) =
2
23²
3
- 10x² +48x +1
2
There is a local minimum at x=4 and a local maximum at x=6.
There is a local maximum at x=4 and no local minimum.
There is a local maximum at x=6 and no local minimum.
There is a local maximum at x=4 and a local maximum at x=6.
There is a local maximum at x=4 and a local minimum at x=6.
Transcribed Image Text:Using the First Derivative Test, what are the local maximum/minimum for the following function? f(x) = 2 23² 3 - 10x² +48x +1 2 There is a local minimum at x=4 and a local maximum at x=6. There is a local maximum at x=4 and no local minimum. There is a local maximum at x=6 and no local minimum. There is a local maximum at x=4 and a local maximum at x=6. There is a local maximum at x=4 and a local minimum at x=6.
Expert Solution
steps

Step by step

Solved in 3 steps with 14 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning