2*sin(x)*(cos(x) + 1)
(2*sin(x))*(cos(x) + 1)
Apply the product rule:
; to find :
The derivative of a constant times a function is the constant times the derivative of the function.
The derivative of sine is cosine:
So, the result is:
; to find :
Differentiate term by term:
The derivative of cosine is negative sine:
The derivative of the constant is zero.
The result is:
The result is:
Now simplify:
The answer is:
2 - 2*sin (x) + 2*(cos(x) + 1)*cos(x)
-2*(1 + 4*cos(x))*sin(x)
/ 2 2 \ 2*\- 3*cos (x) + 4*sin (x) - (1 + cos(x))*cos(x)/