Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Differentiate term by term:
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 derivative of the constant is zero.
The result is:
The result of the chain rule is:
Now simplify:
The answer is:
/ 2 \ | 20*x | 20*|1 - ---------| | 2| \ 7 + 10*x / ------------------ 2 7 + 10*x
/ 2 \ | 40*x | 400*x*|-3 + ---------| | 2| \ 7 + 10*x / ---------------------- 2 / 2\ \7 + 10*x /