# Question #e365f

##### 1 Answer

Same as you would if the exponent were positive - with a slight adjustment for the chain rule.

#### Explanation:

Consider differentiating

It's a special function because its derivative is itself. Now, try

We see that the derivative is the same as itself again - except this time, it's negative. Why?

The answer has to do with the chain rule, which states that the derivative of a *composite function* (a function within a function) is the derivative of the inner function times the derivative of the function in general. This is best demonstrated with an example:

We have one function,

Because

The same logic holds for functions with negative exponents, like

This makes intuitive sense too. We know that

So for

In this case