find the first dericative of y=(2500+500(sin100pix))/x

Answer 1

use the quotient rule ....
dy/dx = [ x(0 + 500cos(100πx)(100π)) - (2500 + 500sin(100πx) ) ]/x^2
= ....

expand and simplify it a bit

Answer 2

y=(2500+500(sin100pix))/x
y=2500/x+500(sin100pix))/x
y'=-2500/x^2 +500*100pi*cosx/x -500(sin100pix/x^2)
check that.

Answer 3

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