6 sin (5*x)
d / 6 \ --\sin (5*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:
5 30*sin (5*x)*cos(5*x)
4 / 2 2 \ 150*sin (5*x)*\- sin (5*x) + 5*cos (5*x)/
3 / 2 2 \ 3000*sin (5*x)*\- 4*sin (5*x) + 5*cos (5*x)/*cos(5*x)