Apply the product rule:
; to find :
Let .
The derivative of is itself.
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:
; to find :
The derivative of cosine is negative sine:
The result is:
Now simplify:
The answer is:
2*x 2*x - e *sin(x) + 2*cos(x)*e
2*x (-4*sin(x) + 3*cos(x))*e