# How do you find the derivative of #y=arc cot(x)#?

##### 1 Answer

Dec 3, 2016

#### Explanation:

When tackling the derivative of inverse trig functions. I prefer to rearrange and use Implicit differentiation as I always get the inverse derivatives muddled up, and this way I do not need to remember the inverse derivatives. If you can remember the inverse derivatives then you can use the chain rule.

Let

Differentiate Implicitly:

# -csc^2ydy/dx = 1 # ..... [1]

Using the

# 1+cot^2y=csc^2y #

# :. 1+x^2=csc^2y #

# :. csc^2y=1+x^2 #

Substituting into [1]