# For what values of x is #f(x)=(5x-1)(x-5) (2x+3)# concave or convex?

##### 1 Answer

Jan 13, 2018

Convex

Concave

#### Explanation:

We can test for concavity using the second derivative. If:

It will make the differentiation easier if we expand this:

The second derivative is the derivative of the first derivative, so:

Convex

Concave

GRAPH: