# For what values of x is #f(x)=(x+6)(x-10)(x-3)# concave or convex?

##### 1 Answer

Sep 7, 2017

#### Explanation:

First we combine the terms into a singe polynomial. Then we take the first and second derivatives. Where f’(x) is 0 are the local maxima and/or minima.

If f”(x) > 0 it is convex, if f”(x) < 0 it is concave.