Suppose f \'\' is continuous on (??, ?). (a) If f \' (1) = 0 and f \'\' (1) = 1,
ID: 2837738 • Letter: S
Question
Suppose f '' is continuous on (??, ?). (a)
If f '(1) = 0 and f ''(1) = 1,
what can you say about f ?
a.At x = 1, f has a local maximum.
b.At x = 1, f has a local minimum.
c.At x = 1, f has neither a maximum nor a minimum.
d.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 ?
a.At x = 2, f has a local maximum.
b.At x = 2, f has a local minimum.
c.At x = 2, f has neither a maximum nor a minimum.
d.More information is needed to determine if f has a maximum or minimum at x = 2.
Explanation / Answer
b.At x = 1, f has a local minimum
d.More information is needed to determine if f has a maximum or minimum at x = 2.