x - 1 ----- x + 1
d /x - 1\ --|-----| dx\x + 1/
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 :
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:
The answer is:
1 x - 1 ----- - -------- x + 1 2 (x + 1)
/ -1 + x\ 2*|-1 + ------| \ 1 + x / --------------- 2 (1 + x)
/ -1 + x\ 6*|1 - ------| \ 1 + x / -------------- 3 (1 + x)