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:
-25*x -------------- ___________ / 2 \/ 1 - 25*x
/ 2 \ | 25*x | -25*|1 + ---------| | 2| \ 1 - 25*x / ------------------- ___________ / 2 \/ 1 - 25*x