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 sine is cosine:
The result of the chain rule is:
The result of the chain rule is:
The answer is:
-2*cos(x) -------------- 2 sin(x)*sin (x)
/ 2 \ | 3*cos (x)| 2*|1 + ---------| | 2 | \ sin (x) / ----------------- 2 sin (x)
/ 2 \ | 3*cos (x)| -8*|2 + ---------|*cos(x) | 2 | \ sin (x) / ------------------------- 3 sin (x)