Suppose that f is a function with f'(3) = 0 and f"(3) = 4. O Then f has a relative maximum at x = 3. O Then f has a relative minimum at x = 3. O Given this information, we cannot determine whether f has a maximum or a minimum at x = 3.

Suppose that f is a function with f'(3) = 0 and f"(3) = 4. O Then f has a relative maximum at x = 3. O Then f has a relative minimum at x = 3. O Given this information, we cannot determine whether f has a maximum or a minimum at x = 3.

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

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 61E

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6.)

Suppose that f is a function with f'(3) = 0 and f"(3) = 4.
O Then f has a relative maximum at x = 3.
O Then f has a relative minimum at x = 3.
O Given this information, we cannot determine whether f has a maximum or a minimum at x = 3.

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