Apply the quotient rule, which is:
and .
To find :
The derivative of sine is cosine:
To find :
Apply the power rule: goes to
Now plug in to the quotient rule:
Now simplify:
The answer is:
cos(x) 5*sin(x) ------ - -------- 5 6 x x
10*cos(x) 30*sin(x) -sin(x) - --------- + --------- x 2 x ------------------------------- 5 x
210*sin(x) 15*sin(x) 90*cos(x) -cos(x) - ---------- + --------- + --------- 3 x 2 x x -------------------------------------------- 5 x