# How do you find the inflection points of #f(x)=3x^5-5x^4-40x^3+120x^2#?

##### 1 Answer

Jun 7, 2017

The inflection points are

#### Explanation:

To find the inflection points you need to perform the second derivative test. Since this is a polynomial we use the power rule to differentiate the equation,

We get the first

Followed by the second

Now we factor you should get:

Now set the factors equal to zero:

Solve them and you should get:

If you wish to find out where the exact inflection points occur plug in the three values into the original equation :)

You would do