# How do you find the derivative of #y = arcsin(5x)#?

##### 2 Answers

#### Explanation:

This implies that

So now we can differentiate

Now we have

Therefore,

So now we have the derivative of our original equation, but we need to express

We can do this using the Pythagorean rule:

Use the Chain Rule . Please see the explanation.

#### Explanation:

The Chain Rule is:

Let

Substitute

Substitute 5 for

Reverse the substitution for g by substituting 5x for g in equation [3]: