# How do you find the derivative of #y=sin^-1x#?

##### 1 Answer

Feb 10, 2016

#### Explanation:

This can usually be quoted off of a table of standard derivatives:

However, if you have trouble convincing yourself then a good place to start would be implicit differentiation:

We know that if

Applying implicit differentiation we get:

Now use the trig identity:

And from the start we know that: