Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
Let .
The derivative of sine is cosine:
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result of the chain rule is:
The result is:
Now simplify:
The answer is:
/x\ x*cos|-| \2/ /x\ -------- + sin|-| 2 \2/
/x\ x*sin|-| \2/ /x\ - -------- + cos|-| 4 \2/
/x\ /x\ - 8*cos|-| + x*sin|-| \2/ \2/ --------------------- 16