# Derivative Of Arccos

## Derivative Of Arccos

### What is the derivative of Archos Square X?

Use the Chinese rule.

First, remember:

The source of f (x) = arccos x is given by f (x) = 1 / sqrt (1 x 2)

g (x) = squared x = x (1/2) = 1 / (2 squared (x))

[f (g (x))] = [f (g (x))] * g (x) = [1 / square (1x)] [1 / (2 sqrt (x))] = 1 / [(sqrt) (1 x)) (2 square (x))] =

1 / (2 squared (x x 2))

(It can be expressed in other ways as well).

Check the work to make sure you haven't typed, but this is the right way.

## Derivative Of Arccos

What is the derivative of arccos sqrt x? 3

Use series rules.

First, remember:

The derivative of f (x) = arccos x is given by f (x) = 1 / sqrt (1 x 2).

g (x) = square x = x (1/2) = 1 / (2 square (x)) derivative

[f (g (x))] = [f (g (x))] * g (x) = [1 / square (1x)] [1 / (2sqrt (x))] = 1 / [(sqrt ( 1 x)) (2 square (x))] =

1 / (2sqrt (x x 2))

(This can be expressed in other ways as well).

Check the work to make sure you haven't made a typo, but this is the right way.