# What are the extrema of #f(x)=2x^3 + 5x^2 - 4x - 3 #?

##### 1 Answer

Dec 10, 2016

#### Answer:

#### Explanation:

First we identify the critical points by equating the first derivative to zero:

giving us:

Now we study the sign of the second derivative around the critical points:

so that:

graph{2x^3+5x^2-4x-3 [-10, 10, -10, 10]}