# How do you find the derivative of #sin(arccosx)#?

##### 2 Answers

Use the Chain Rule, resulting in

#### Explanation:

The Chain Rule involves breaking a function up into a function of a function, sometimes expressed as

Step 1. Let

Step 2. Chain Rule says

Step 3. Apply the Chain Rule to the equations in Step 1.

Step 4. Get rid of the

Step 5. Plug your derivatives back into Chain Rule of Step 2.

Step 6 is often optional, but you can then try to simplify as much as you can.

I would use the fact that

#### Explanation:

The sine of an angle (or, a number) between

(Use

and with

Now i'll use

# = 1/(2sqrt(1-x^2)) * (-2x)#

# = (-x)/sqrt(1-x^2)#