# How do you find the derivative of #1/(x+1)^2 #?

##### 1 Answer

#### Explanation:

**Method 1: Brute Force**

Since this is a simple reciprocal, we can write it as a power and then use the chain rule:

This answer seems so simple, we could have almost done it by inspection.

**Method 2: Substitution**

One way to prove this to ourselves is to do a substitution by setting

which allows us to do the following substitution

now we end up with the very simple derivative in terms of

which we can substitute back in for

Just as we had before, but we can see why the problem was really very simple after all

**Method 3: Inspection**

The offset of