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| \ 5 + x / -------------- 2 5 + x
/ 2 \ | 4*x | 4*x*|-3 + ------| | 2| \ 5 + x / ----------------- 2 / 2\ \5 + x /