Chapter 9.CR, Problem 26CR

To determine

(a)

To find:

The value of $\frac{\partial z}{\partial y}$ for the function $z=f\left(x,y\right)=\frac{x+y^2}{x-y^2}$.

To determine

(b)

To find:

The value of $\frac{\partial f}{\partial x}\left(0,2\right)$ for the function $z=f\left(x,y\right)=\frac{x+y^2}{x-y^2}$.

To determine

(c)

To find:

The value of $f_{xx}\left(-1,0\right)$ for the function $z=f\left(x,y\right)=\frac{x+y^2}{x-y^2}$.