Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
The derivative of sine is cosine:
The result of the chain rule is:
The answer is:
/ 2 \ | ________ cos (x) | -|2*\/ sin(x) + ---------| | 3/2 | \ sin (x)/ ---------------------------- 4
/ 2 \ | 3*cos (x)| |2 + ---------|*cos(x) | 2 | \ sin (x) / ---------------------- ________ 8*\/ sin(x)