Question

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

Answer 1

`\frac{dw}{dx}=\frac{-7}{(1+2x)^2}`

Explanation:

Use the quotient rule to the effect that
`\frac{dw}{dx}=\frac{-3(1+2x)-2(2-3x)}{(1+2x)^2}=\frac{-7}{(1+2x)^2}`
because `\frac{d}{dx}(2-3x)=-3` and `\frac{d}{dx}(1+2x)=2`.