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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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.
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