-4*sin(x)*cos(x)
(-4*sin(x))*cos(x)
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 :
The derivative of cosine is negative sine:
The result is:
Now simplify:
The answer is:
2 2 - 4*cos (x) + 4*sin (x)