Chapter 14.2, Problem 3CP

(a)

To determine

To calculate: The partial derivative $\frac{\partial f}{\partial x}$ of the function $f\left(w,x,y,z\right)=8x{y}^2+4yz-x{w}^2$.

(b)

To determine

To calculate: The partial derivative $\frac{\partial f}{\partial w}$ of the function $f\left(w,x,y,z\right)=8x{y}^2+4yz-x{w}^2$.

(c)

To determine

To calculate: The partial derivative $\frac{\partial f}{\partial y}\left(1,2,1,3\right)$ of the function $f\left(w,x,y,z\right)=8x{y}^2+4yz-x{w}^2$.

(d)

To determine

To calculate: The partial derivative $\frac{\partial f}{\partial z}\left(0,2,1,3\right)$ of the function $f\left(w,x,y,z\right)=8x{y}^2+4yz-x{w}^2$.