Apply the quotient rule, which is:
and .
To find :
Differentiate term by term:
The derivative of the constant is zero.
Apply the power rule: goes to
The result is:
To find :
Apply the power rule: goes to
Now plug in to the quotient rule:
Now simplify:
The answer is:
/ 2 \ 2*\x + 1/ 2*x - ---------- + --- 3 2 x x
/ 2\ | 1 + x | 6*|-1 + ------| | 2 | \ x / --------------- 2 x
/ 2\ | 1 + x | 24*|1 - ------| | 2 | \ x / --------------- 3 x