GATE DA 2024 Q15: Second derivative test: f′=0 and f″>0

For any twice differentiable function $f: \mathbb{R} \to \mathbb{R}$, if at some $x^* \in \mathbb{R}$, $f'(x^*) = 0$ and $f''(x^*) > 0$, then the function $f$ necessarily has a ______ at $x = x^*$.

Note: $\mathbb{R}$ denotes the set of real numbers.