What is the derivative of (x^2+3)/x?

Jul 5, 2016

$= 1 - \frac{3}{x} ^ 2$

Explanation:

${\left(\frac{{x}^{2} + 3}{x}\right)}^{p} r i m e$

$= {\left(x + \frac{3}{x}\right)}^{p} r i m e$

$= 1 + \left(\frac{3}{x}\right) '$

$\left(\frac{3}{x}\right) ' = \left(3 {x}^{- 1}\right) ' = \left(- 1\right) 3 {x}^{- 2} = - \frac{3}{x} ^ 2$

$= 1 - \frac{3}{x} ^ 2$