Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Differentiate term by term:
Apply the power rule: goes to
The derivative of the constant is zero.
The result is:
The result of the chain rule is:
Now simplify:
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 /