Question

Derivatives of 250x/x+15​

Answer 1

3750/ (x + 15)^2.

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.