Derivatives of 250x/x+15

3750 / (x + 15) ^2.

Step-by-step explanation:

We use the quotient rule:

If f (x) = u/v then f' (x) = (v du/dx - u dv/dx) / v^2

So here the derivative is

(x + 15) * 250 - 250x * 1) / (x + 15) ^2

= (250x + 3750 - 250x) / (x + 15) ^2

= 3750 / (x + 15) ^2.