Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
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 of the chain rule is:
Now simplify:
The answer is:
7/x\ /x\ 2*sin |-|*cos|-| \4/ \4/
6/x\ / 2/x\ 2/x\\ sin |-|*|- sin |-| + 7*cos |-|| \4/ \ \4/ \4// ------------------------------- 2
5/x\ / 2/x\ 2/x\\ /x\ sin |-|*|- 11*sin |-| + 21*cos |-||*cos|-| \4/ \ \4/ \4// \4/ ------------------------------------------ 4