(a) well, the graph is concave down, so ...
(b) consider x^3 and x^4
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.
1 answer