tmua.fyi Mock Paper 2 · Question 6

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tmua.fyi Mock Paper 2 · Q6

Paper 2Logic & proofFunctions & graphs

$f$ is a differentiable function. Consider statement P: ‘ $x=2$ is a turning point of $f$ ’, and statement Q: ‘ $f'(2)=0$ ’. Then Q is:

Anecessary but not sufficient for P.

Bsufficient but not necessary for P.

Cboth necessary and sufficient for P.

Dneither necessary nor sufficient for P.

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