# How do you find the derivative of w=(2-3x)/(1+2x)?

$\setminus \frac{\mathrm{dw}}{\mathrm{dx}} = \setminus \frac{- 7}{{\left(1 + 2 x\right)}^{2}}$
$\setminus \frac{\mathrm{dw}}{\mathrm{dx}} = \setminus \frac{- 3 \left(1 + 2 x\right) - 2 \left(2 - 3 x\right)}{{\left(1 + 2 x\right)}^{2}} = \setminus \frac{- 7}{{\left(1 + 2 x\right)}^{2}}$
because $\setminus \frac{d}{\mathrm{dx}} \left(2 - 3 x\right) = - 3$ and $\setminus \frac{d}{\mathrm{dx}} \left(1 + 2 x\right) = 2$.