/pi*x\ sin|----| \ 4 /
d / /pi*x\\ --|sin|----|| dx\ \ 4 //
Let .
The derivative of sine is cosine:
Then, apply the chain rule. Multiply by :
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 of the chain rule is:
The answer is:
/pi*x\ pi*cos|----| \ 4 / ------------ 4
2 /pi*x\ -pi *sin|----| \ 4 / --------------- 16
3 /pi*x\ -pi *cos|----| \ 4 / --------------- 64