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:
The answer is:
2 1 2*x ------ - --------- 2 2 x + 1 / 2 \ \x + 1/
/ 2 \ | 4*x | 2*x*|-3 + ------| | 2| \ 1 + x / ----------------- 2 / 2\ \1 + x /
/ / 2 \\ | 2 | 2*x || | 4*x *|-1 + ------|| | 2 | 2|| | 4*x \ 1 + x /| 6*|-1 + ------ - ------------------| | 2 2 | \ 1 + x 1 + x / ------------------------------------ 2 / 2\ \1 + x /