Chapter 14, Problem 13RE

(a)

To determine

To calculate: The value of $\frac{\partial z}{\partial x}$ in $z=f\left(x,y\right)=-2x^2+5xy+y^2$.

(b)

To determine

To calculate: The value of $\frac{\partial z}{\partial y}\left(-1,4\right)$ in $z=f\left(x,y\right)=-2x^2+5xy+y^2$.

(c)

To determine

To calculate: The value of $f_{xy}\left(2,-1\right)$ in $z=f\left(x,y\right)=-2x^2+5xy+y^2$.