A twice differentiable function satisfies and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A twice differentiable function gg satisfies g′(2)=0g'(2)=0 and g′′(2)=0g''(2)=0. What, if anything, can you conclude about the nature of x=2x=2 as a local extremum based only on this information?

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