# How do you take the derivative of #tan^-1 2x#?

##### 1 Answer

Aug 4, 2015

Use the derivative of

#### Explanation:

The derivative of

So, applying the chain rule, we get:

In this question

# = 2/(1+4x^2)#

**Note**

If

Differentiating implicitly gets us:

From trigonometry, we know that

so

and we have

For