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.

• A. local minimum
• B. global minimum
• C. local maximum
• D. global maximum

Answer 1

Answer: (A)

local minimum

Answer 2

The correct option is (A) : local minimum.