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