For any twice differentiable function 𝑓: ℝ β†’ ℝ, if at some π‘₯βˆ— ∈ ℝ, 𝑓′ (π‘₯βˆ—β€¦

For any twice differentiable function 𝑓: ℝ β†’ ℝ, if at some π‘₯βˆ— ∈ ℝ, 𝑓′ (π‘₯βˆ— ) = 0 and 𝑓′′(π‘₯βˆ— ) > 0, then the function 𝑓 necessarily has a ______ at π‘₯ = π‘₯βˆ— .

Note: ℝ denotes the set of real numbers.

  1. A.

    local minimum

  2. B.

    global minimum

  3. C.

    local maximum

  4. D.

    global maximum

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