__________ / 2 \/ 100 - x
/ __________\ d | / 2 | --\\/ 100 - 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:
The answer is:
-x ------------- __________ / 2 \/ 100 - x
/ 2 \ | x | -|1 + --------| | 2| \ 100 - x / ---------------- __________ / 2 \/ 100 - x
/ 2 \ | x | -3*x*|1 + --------| | 2| \ 100 - x / ------------------- 3/2 / 2\ \100 - x /