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# Find the derivative of ln(xy^2-1y)+(3x-1y)^0.5

### Videos

$\frac{\sqrt{3x-y}y^2-\frac{3}{2}y+\frac{3}{2}y^2x}{\sqrt{3x-y}y^2x-\sqrt{3x-y}y}$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(\ln\left(x y^2-y\right)+\sqrt{3x-y}\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(\sqrt{3x-y}\right)+\frac{d}{dx}\left(\ln\left(y^2x-y\right)\right)$

$\frac{\sqrt{3x-y}y^2-\frac{3}{2}y+\frac{3}{2}y^2x}{\sqrt{3x-y}y^2x-\sqrt{3x-y}y}$
$\frac{d}{dx}\left(\ln\left(x y^2-y\right)+\sqrt{3x-y}\right)$