# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #F(x)= (x^2)(lnx)#?

##### 1 Answer

Jan 3, 2017

By analysing

#### Explanation:

For local extrema

Thus:

Since

Hence:

This is shown by the graph of

graph{x^2*lnx [-0.542, 2.877, -0.449, 1.26]}