GATE DA 2025 da Q51: Calculus and Optimization

Let

be a twice-differentiable function and suppose its second derivative satisfies

for all

. Which of the following statements is/are ALWAYS correct?

Your answerSelect all correct options. You can choose more than one.

has a local minima

There does not exist

and

, such that

has at most one global minimum

has at most one local minimum

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