# What is the derivative of #ln(1/x)#?

##### 1 Answer

Sep 1, 2016

The derivative is

#### Explanation:

Here are two ways to find the derivative:

**Method 1** relies on knowing about exponents and logarithms.

We'll use

We get:

# = d/dx(-1lnx) = -1 d/dx(lnx)#

# = -1/x# .

**Method 2** uses the chain rule.

We get

# = x * (-1/x^2)#

# = -1/x#