Chapter 14, Problem 14RE

(a)

To determine

To calculate: The value of $\frac{\partial z}{\partial y}$ in $z=f\left(x,y\right)=\frac{2y+x^2}{3y-x}$.

(b)

To determine

To calculate: The value of $\underset{\_}{\frac{\partial z}{\partial x}\left(0,2\right)}$ in $z=f\left(x,y\right)=\frac{2y+x^2}{3y-x}$.

(c)

To determine

To calculate: The value of $f_{yy}\left(-1,0\right)$ in $z=f\left(x,y\right)=\frac{2y+x^2}{3y-x}$.