# How do you find the interval where f is concave up and where f is concave down for #f(x)= –(2x^3)–(3x^2)–7x+2#?

##### 1 Answer

Sep 9, 2015

Using the second derivative test,

#### Explanation:

Concavity has to do with the second derivative of a function.

A function is **concave up** for the intervals where

A function is **concave down** for the intervals where

First, let's solve for the second derivative of the function.

*The first derivative:*

*The second derivative:*

**Intervals where #f(x)# is concave up:**

**Intervals where #f(x)# is concave down:**