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:
The answer is:
2*y*cos(2*y) + sin(2*y)
4*(-y*sin(2*y) + cos(2*y))
-4*(3*sin(2*y) + 2*y*cos(2*y))