# What is the derivative of #f(x)=-ln(1/x)/x+xlnx#?

##### 1 Answer

Dec 22, 2015

For the first term, we use quotient rule and for the second, product rule.

#### Explanation:

Quotient rule states that for a function

Product rule states that for a function

Additionally, in this case we'll use the chain rule once, which states that

Thus,

The derivative of