Consider the cubic polynomial equation
.
Find the inflection points.
\Apply derivative with respect to
.

Apply derivative with respect to
.

Find the inflection points by equating the second derivative to zero.
\
Substitute
in
.

So the inflection point is
.
Find the inflection points of cubic function using
.
Compare the above cubic function with
.
and
.


So the inflection point of
is
.
The inflection point is
.
The inflection point of
is
.