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GATE DA 2024 Set 1 — Question 15

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MCQ+1 / -0.33EasyMaxima & MinimaMaxima, Minima & OptimizationCalculus & OptimizationSingle Variable Optimization

Calculus & Optimization → Maxima, Minima & Optimization → Maxima & Minima

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Question

For any twice differentiable function f:R→Rf: \mathbb{R} \to \mathbb{R}, if at some x∗∈Rx^* \in \mathbb{R}, f′(x∗)=0f'(x^*) = 0 and f′′(x∗)>0f''(x^*) > 0, then the function ff necessarily has a ______ at x=x∗x = x^*.
Note: R\mathbb{R} denotes the set of real numbers.
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