If f'(x) > 0 for x < -2 and f'(x) < 0 for x > -2, then it can be concluded that f has a relative minimum at x = -2. O True, the derivative changes from positive to negative O True, the derivative changes from negative to positive O False, the derivative changes from positive to negative O False, the derivative changes from negative to positive

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
Question
If f'(x) > 0 for x < -2 and f'(x) < 0 for x > -2, then it can be concluded that f has a relative minimum at x = -2.
O True, the derivative changes from positive to negative
O True, the derivative changes from negative to positive
O False, the derivative changes from positive to negative
O False, the derivative changes from negative to positive
Transcribed Image Text:If f'(x) > 0 for x < -2 and f'(x) < 0 for x > -2, then it can be concluded that f has a relative minimum at x = -2. O True, the derivative changes from positive to negative O True, the derivative changes from negative to positive O False, the derivative changes from positive to negative O False, the derivative changes from negative to positive
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