Question:
For any twice differentiable function ƒ: R → R, if at some x* ∈ R, f'(x*) = 0 and f'(x*) > 0, then the function f necessarily has a ______ at x = x*.
Note : R denotes the set of real numbers.
For any twice differentiable function ƒ: R → R, if at some x* ∈ R, f'(x*) = 0 and f'(x*) > 0, then the function f necessarily has a ______ at x = x*.
Note : R denotes the set of real numbers.
Note : R denotes the set of real numbers.
Updated On: Jan 30, 2026
- local minimum
- global minimum
- local maximum
- global maximum
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The Correct Option is A
Solution and Explanation
The correct option is (A) : local minimum.
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