# What are the points of inflection, if any, of #f(x) = 5x^3 + 30x^2 - 432x #?

##### 1 Answer

May 22, 2018

#### Explanation:

points of inflection are where

in this problem,

since

if you plug in x-values near -2, you can see that

to find point of inflection:

the point of inflection is

check with the graph of

graph{5x^3+30x^2-432x [-14, 10, -10000, 10000]}

it seems to change concavity around