# How do you determine whether the function #f(x)=x^8(ln(x))# is concave up or concave down and its intervals?

##### 1 Answer

Oct 15, 2015

See the explanation.

#### Explanation:

The intervals of concavity are determined by 2nd derivative. If 2nd derivative changes sign in the points where it is equal to zero, those points are inflection points.

Note: the sign of