Asked by Parker
Suppose f '' is continuous on (−∞, ∞).
(a)
If f '(1) = 0 and f ''(1) = −1,
what can you say about f ?
1)At x = 1, f has a local maximum.
2)At x = 1, f has a local minimum.
3)At x = 1, f has neither a maximum nor a minimum.
4)More information is needed to determine if f has a maximum or minimum at x = 1.
(b)
If f '(2) = 0 and f ''(2) = 0,
what can you say about f ?
1)At x = 2, f has a local maximum.
2)At x = 2, f has a local minimum.
3)At x = 2, f has neither a maximum nor a minimum.
4)More information is needed to determine if f has a maximum or minimum at x = 2.
(a)
If f '(1) = 0 and f ''(1) = −1,
what can you say about f ?
1)At x = 1, f has a local maximum.
2)At x = 1, f has a local minimum.
3)At x = 1, f has neither a maximum nor a minimum.
4)More information is needed to determine if f has a maximum or minimum at x = 1.
(b)
If f '(2) = 0 and f ''(2) = 0,
what can you say about f ?
1)At x = 2, f has a local maximum.
2)At x = 2, f has a local minimum.
3)At x = 2, f has neither a maximum nor a minimum.
4)More information is needed to determine if f has a maximum or minimum at x = 2.
Answers
Answered by
oobleck
(a) well, the graph is concave down, so ...
(b) consider x^3 and x^4
(b) consider x^3 and x^4
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.