sin(x) ------*x + 16 2
(sin(x)/2)*x + 16
Differentiate term by term:
Apply the quotient rule, which is:
and .
To find :
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
The derivative of sine is cosine:
The result is:
To find :
The derivative of the constant is zero.
Now plug in to the quotient rule:
The derivative of the constant is zero.
The result is:
The answer is:
sin(x) x*cos(x) ------ + -------- 2 2
x*sin(x) - -------- + cos(x) 2
-(3*sin(x) + x*cos(x)) ----------------------- 2