Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
Apply the power rule: goes to
The result is:
The result of the chain rule is:
The answer is:
/ 2 \ | 2*x | 2*|1 - ------| | 2| \ 1 + x / -------------- 2 1 + x
/ 2 \ | 4*x | 4*x*|-3 + ------| | 2| \ 1 + x / ----------------- 2 / 2\ \1 + x /