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# 1st and 2nd Derivative Test

APCALC-VUWLOY

If $f$ is a twice differentiable function with $f^\prime ( 5 ) =0$ and $f^{\prime \prime} ( 5 ) =6$ which of the following must be true?

A

$f(5)$ is a relative maximum

B

$f(5)$ is a relative minimum

C

$f(5) > 0$

D

$f(5)$ is a point of inflection