2 x *sin(x) + 2*x*cos(x) - 2*sin(x)
Differentiate term by term:
Differentiate term by term:
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
The derivative of sine is cosine:
The result is:
Apply the product rule:
; to find :
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:
; to find :
The derivative of cosine is negative sine:
The result is:
The result is:
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:
The result is:
The answer is:
x*(2*cos(x) - x*sin(x))
2 2*cos(x) - x *cos(x) - 4*x*sin(x)