AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

Points of Inflection

APCALC-IOVIEW

Given $f( x ) ={ 4x }^{ 3 }-{ 6x }^{ 2 }-24x$, find all values of $x$ at which points of inflection occur on $f(x)$.

A

$x=\cfrac{1}{2}$

B

$x=2$

C

$x=-1$

D

$x=-1$ and $x=2$