# Hoe do you differentiate #f(x)=ln(1/x^2) - ln(1/x^3) #?

##### 1 Answer

By using logarithmic properties to create one natural log, then using

#### Explanation:

The derivative of a log

For the sake of ease, I'm going to change the equation to

So we're going to go through each term in the equation and take the derivative of it.

The derivative of

The derivative of

Now that we have our derivatives of each term, let's go back to our equation.

Now, that is the correct answer, but after finishing this problem, I realized that I worked hard, and not smart. This problem becomes a whole lot easier when we implement the log rules, specifically

So implementing this...

And very simply, the derivative of