y z - ln{ z } = x + y

Frequently Asked Questions

• $\text{Solve for }x$ of $yz-\ln z=x+y$

  

  $$x=yz-\ln \left(z\right)-y$$

• $\text{Solve for }y$ of $yz-\ln z=x+y$

  

  $$y=\frac{x+\ln \left(z\right)}{z-1}$$

• $\text{Find }\frac{\partial z}{\partial x}\text{ by differentiating the equation directly}$ of $yz-\ln z=x+y$

  

  $$\frac{\partial z}{\partial x}=\frac{z}{yz-1}$$

• $\text{Find }\frac{\partial z}{\partial y}\text{ by differentiating the equation directly}$ of $yz-\ln z=x+y$

  

  $$\frac{\partial z}{\partial y}=\frac{z-z^2}{yz-1}$$