# What's the derivative of #f(x) = sin (arctan (x/(sqrt(3))))#?

##### 2 Answers

Apr 1, 2016

#### Answer:

#### Explanation:

By the chain rule:

Apr 1, 2016

#### Answer:

#### Explanation:

With

I can't easily draw a picture of the triangle here, but there is an algebraic way to get this.

**So, we have**

Use the quotient, power and chain rules to get

#f'(x) = 3/((x^2+3)sqrt(x^2+3))#