Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
The derivative of cosine is negative sine:
The result of the chain rule is:
The result of the chain rule is:
The answer is:
2*sin(x) -------------- 2 cos(x)*cos (x)
/ 2 \ | 3*sin (x)| 2*|1 + ---------| | 2 | \ cos (x) / ----------------- 2 cos (x)
/ 2 \ | 3*sin (x)| 8*|2 + ---------|*sin(x) | 2 | \ cos (x) / ------------------------ 3 cos (x)