Partial Derivatives
Section 14.3-4
An exercise
Andy Long, Fall, 2015

f[x_,y_]:=(((x-2))/2y)^-2
Plot3D[f[x,y],{x,0,2},{y,0,Pi},PlotPoints->30,AxesLabel->Automatic]
ContourPlot[f[x,y],{x,0,2},{y,0,Pi},PlotPoints->30,AxesLabel->Automatic]

fsubx=D[f[x,y],x]
fsuby=D[f[x,y],y]
Plot3D[fsubx,{x,0,2},{y,0,Pi},PlotPoints->30,AxesLabel->Automatic]
Plot3D[fsuby,{x,0,2},{y,0,Pi},PlotPoints->30,AxesLabel->Automatic]