Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Let .
The derivative of cosine is negative sine:
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:
The answer is:
-3*sin(3*x) -------------- __________ 2*\/ cos(3*x)
/ 2 \ | __________ sin (3*x) | -9*|2*\/ cos(3*x) + -----------| | 3/2 | \ cos (3*x)/ --------------------------------- 4
/ 2 \ | 3*sin (3*x)| -27*|2 + -----------|*sin(3*x) | 2 | \ cos (3*x) / ------------------------------ __________ 8*\/ cos(3*x)