# How do you use the first derivative test to determine the intervals on which #f(x)=x^4+3x^3+3x^2+1# is increasing or decreasing and whether each critical point is a local maximum, minimum or neither?

##### 1 Answer

Sep 24, 2015

See the explanation.

#### Explanation:

Using the rules:

and

we get:

Lets examine expression

So, expression