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)#