Solution. Right click this cell to view the Mathematica solution.

The chain rule must be used to determine the derivatives. Mathematica can do it !  The following cells are active.

[Graphics:../Images/TaylorDEMod_gr_11.gif]
[Graphics:../Images/TaylorDEMod_gr_12.gif] [Graphics:../Images/TaylorDEMod_gr_13.gif]
[Graphics:../Images/TaylorDEMod_gr_14.gif] [Graphics:../Images/TaylorDEMod_gr_15.gif]
[Graphics:../Images/TaylorDEMod_gr_16.gif] [Graphics:../Images/TaylorDEMod_gr_17.gif]
[Graphics:../Images/TaylorDEMod_gr_18.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003