DATA_605_Discussion_15_DThonn_Ch12.3_Pr_11

** DATA_605_Discussion_15_Calculus_MultiVariable_Ch12.3_Pr_11 **

** Chapter 12.3, # 11 **

11). Find fx, fy, fxx, fyy, fxy and fyx:

Reference: see Examples 405,406,407 in Chapter 12.3 of the Apex calculus text, Hartman (page 693)

\[f(x,y) = \frac {x}{y}\] \[f_{x} = \frac {1}{y}\]

\[f_{y} = \frac {-x}{y^2}\] \[f_{xx} = 0\] \[f_{yy} = \frac {-2x}{y^3}\] \[f_{xy} = \frac {-1}{y^2}\] \[f_{yx} = \frac {-1}{y^2}\]

** END **