# How do you differentiate #sin(arctan x)#?

##### 2 Answers

Sep 23, 2016

#### Explanation:

Oct 5, 2016

#### Explanation:

Another method:

If we draw a right triangle with an angle

We can now differentiate using the quotient rule

#= (sqrt(x^2+1) - x^2/sqrt(x^2+1))/(x^2+1)#

#=(x^2+1-x^2)/((x^2+1)sqrt(x^2+1))#

#(x^2+1)^(-3/2)#

Note that this matches the other answer, as using the triangle, we can also see that