3 sin (2*x)
d / 3 \ --\sin (2*x)/ dx
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:
The answer is:
2 6*sin (2*x)*cos(2*x)
/ 2 2 \ 12*\- sin (2*x) + 2*cos (2*x)/*sin(2*x)
/ 2 2 \ 24*\- 7*sin (2*x) + 2*cos (2*x)/*cos(2*x)