Q32Section B (Section B)32 of 60

Extrema and monotonicity around a point

Let $f:\mathbb R\to\mathbb R$ be continuous on $\mathbb R$ and differentiable on $(-\infty,0)\cup(0,\infty)$ . Which of the following statements is (are) always TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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