# How do I find the derivative of y=xlnx?

Jan 26, 2015

Using the Product Rule you get:

$y ' = 1 \cdot \ln \left(x\right) + x \cdot \frac{1}{x} = \ln \left(x\right) + 1$

Product Rule:
Given:
$y = f \cdot g$

$y ' = f ' \cdot g + f \cdot g '$