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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 21 "ENGI 3424 Section 4.2" }
{TEXT -1 34 " - some higher partial derivatives" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 13 "Example 4.2.1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 29 "f(x,y,t) := x*exp(-t)*sin(y);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>-%\"fG6%%\"xG%\"yG%\"tG*(F'\"\"\"-%$expG6#,$F)!\"\"F+-%$sinG6#F(F+
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "diff(f(x,y,t),x,y);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*&-%$expG6#,$%\"tG!\"\"\"\"\"-%$cosG6#
%\"yGF*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "diff(f(x,y,t),t,
t,t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(%\"xG\"\"\"-%$expG6#,$%\"
tG!\"\"F&-%$sinG6#%\"yGF&F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Ex
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(sqrt(x^2 + y^2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"uG6$%\"xG%
\"yG,$*&#\"\"\"\"\"#F,-%#lnG6#,&*$)F'F-F,F,*$)F(F-F,F,F,F," }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "diff(u(x,y),x,x);" }}{PARA 11 "" 1 
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ify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,&*$)%\"xG\"\"#\"\"\"F*
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{MPLTEXT 1 0 17 "diff(u(x,y),y,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
,&*&\"\"\"F%,&*$)%\"xG\"\"#F%F%*$)%\"yGF*F%F%!\"\"F%*(F*F%F-F*F&!\"#F.
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11 "" 1 "" {XPPMATH 20 "6#*&,&*$)%\"xG\"\"#\"\"\"F)*$)%\"yGF(F)!\"\"F)
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