___________ / 2 2 \/ 4*r - x
/ ___________\ d | / 2 2 | --\\/ 4*r - x / dx
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result is:
The result of the chain rule is:
Now simplify:
The answer is:
-x -------------- ___________ / 2 2 \/ 4*r - x
/ 2 \ | x | -|1 + -----------| | 2 2| \ - x + 4*r / ------------------- _____________ / 2 2 \/ - x + 4*r