# What is the derivative of this function #arcsec(x^3)#?

##### 2 Answers

#### Explanation:

For this you need to know what the derivative of arcsec(x) is.

You can derive it fairly easily:

In the last statement I simplified

If you draw a triangle such that sec(angle) = x, you can understand why it works:

you can see that

Now we know the derivative of arcsec(x) and just need to apply a little chainrule to get our answer:

#### Explanation:

If

Differentiate implicitly:

Now, for

and: