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 :
Differentiate term by term:
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 derivative of the constant is zero.
The result is:
The result of the chain rule is:
The result is:
Now simplify:
The answer is:
2 2*x*sin(5*x - 3) + 5*x *cos(5*x - 3)
2 2*sin(-3 + 5*x) - 25*x *sin(-3 + 5*x) + 20*x*cos(-3 + 5*x)
/ 2 \ 5*\6*cos(-3 + 5*x) - 30*x*sin(-3 + 5*x) - 25*x *cos(-3 + 5*x)/