AP® Calculus AB-BC

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Concave Down

APCALC-Z47LEO

Given $f^{ \prime \prime }( x ) =(x-1){ ( x+2 ) }^{ 3 }{ ( x-5 ) }^{ 2 },$ find ther interval where $f(x)$ is concave down.

A

$(-2,5)$

B

$(-2,1)$

C

$(-\infty,1)$

D

$(1,\infty)$