Apply the quotient rule, which is:
and .
To find :
The derivative of cosine is negative sine:
To find :
Apply the power rule: goes to
Now plug in to the quotient rule:
Now simplify:
The answer is:
sin(x) 2*cos(x) - ------ - -------- 2 3 x x
4*sin(x) 6*cos(x) -cos(x) + -------- + -------- x 2 x ----------------------------- 2 x
24*cos(x) 18*sin(x) 6*cos(x) - --------- - --------- + -------- + sin(x) 3 2 x x x ------------------------------------------- 2 x