Let .
Apply the power rule: goes to
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*x --------- 2 / 2 \ \x - 3/
/ 2 \ | 4*x | 2*|-1 + -------| | 2| \ -3 + x / ---------------- 2 / 2\ \-3 + x /
/ 2 \ | 2*x | 24*x*|1 - -------| | 2| \ -3 + x / ------------------ 3 / 2\ \-3 + x /