# LaTeX2HTML 2022 (Released January 1, 2022)
# Associate images original text with physical files.
$key = q//;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img42.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm D}( {y} )= -  {\displaystyle \fra...
...} )}{2
 {y} {x} + 3 {y}^{2} {x}^{2} + 1}}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{mapleinput}<sin(x)+cos(x)^2|x>;{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img49.png"
 ALT="\begin{mapleinput}
&lt;sin(x)+cos(x)^2\vert x&gt;;
\end{mapleinput}">|; 
$key = q/{mapleinput}D(G);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img56.png"
 ALT="\begin{mapleinput}
D(G);
\end{mapleinput}">|; 
$key = q/{mapleinput}D(f@g);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img35.png"
 ALT="\begin{mapleinput}
D(f@g);
\end{mapleinput}">|; 
$key = q/{mapleinput}D(sin@cos);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img15.png"
 ALT="\begin{mapleinput}
D( sin@cos );
\end{mapleinput}">|; 
$key = q/{mapleinput}D(sin^2);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img11.png"
 ALT="\begin{mapleinput}
D(sin^2);
\end{mapleinput}">|; 
$key = q/{mapleinput}D(y)=solve(",D(y));{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img41.png"
 ALT="\begin{mapleinput}
D(y) = solve('',D(y));
\end{mapleinput}">|; 
$key = q/{mapleinput}D[1,2,1](f)=D[1](D[2](D[1](f)));{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img23.png"
 ALT="\begin{mapleinput}
D[1,2,1](f) = D[1](D[2](D[1](f)));
\end{mapleinput}">|; 
$key = q/{mapleinput}D[2](f);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img19.png"
 ALT="\begin{mapleinput}
D[2](f);
\end{mapleinput}">|; 
$key = q/{mapleinput}F(1.0);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img3.png"
 ALT="\begin{mapleinput}
F(1.0);
\end{mapleinput}">|; 
$key = q/{mapleinput}F(Pislash3);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img5.png"
 ALT="\begin{mapleinput}
F(Pi/3);
\end{mapleinput}">|; 
$key = q/{mapleinput}F(x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img7.png"
 ALT="\begin{mapleinput}
F(x);
\end{mapleinput}">|; 
$key = q/{mapleinput}F:=sin+cos^2;{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img1.png"
 ALT="\begin{mapleinput}
F := sin+cos^2;
\end{mapleinput}">|; 
$key = q/{mapleinput}G:=unapply(F(x),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img47.png"
 ALT="\begin{mapleinput}
G := unapply(F(x),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}convert(",D);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img60.png"
 ALT="\begin{mapleinput}
convert('',D);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(",x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img69.png"
 ALT="\begin{mapleinput}
diff('',x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(F(x),x)-D(F)(x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img45.png"
 ALT="\begin{mapleinput}
diff(F(x),x) - D(F)(x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x),x)-g(x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img73.png"
 ALT="\begin{mapleinput}
diff(f(x),x) - g(x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img58.png"
 ALT="\begin{mapleinput}
diff(f(x),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x,y),x,y,x)=diff(diff(diff(f(x,y),x),y),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img21.png"
 ALT="\begin{mapleinput}
diff(f(x,y),x,y,x) = diff(diff(diff(f(x,y),x),y),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x,y),y);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img17.png"
 ALT="\begin{mapleinput}
diff(f(x,y),y);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x^2),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img31.png"
 ALT="\begin{mapleinput}
diff(f(x^2),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(f(x^2,x*y),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img33.png"
 ALT="\begin{mapleinput}
diff(f(x^2,x*y),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(sin(cos(x)),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img13.png"
 ALT="\begin{mapleinput}
diff( sin(cos(x)), x );
\end{mapleinput}">|; 
$key = q/{mapleinput}diff(sin(x)^2,x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img9.png"
 ALT="\begin{mapleinput}
diff( sin(x)^2, x );
\end{mapleinput}">|; 
$key = q/{mapleinput}eq:=y^2*x+y^3*x^2+y+3*x=0;{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img37.png"
 ALT="\begin{mapleinput}
eq := y^2*x + y^3*x^2 + y + 3*x = 0;
\end{mapleinput}">|; 
$key = q/{mapleinput}expand(F-eval(G));{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img55.png"
 ALT="\begin{mapleinput}
expand(F-eval(G));
\end{mapleinput}">|; 
$key = q/{mapleinput}expand(eval(G));{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img53.png"
 ALT="\begin{mapleinput}
expand(eval(G));
\end{mapleinput}">|; 
$key = q/{mapleinput}expand(f1-f2);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img52.png"
 ALT="\begin{mapleinput}
expand(f1-f2);
\end{mapleinput}">|; 
$key = q/{mapleinput}f(x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img67.png"
 ALT="\begin{mapleinput}
f(x);
\end{mapleinput}">|; 
$key = q/{mapleinput}f1:=sin(x)+cos(x)^2:f2:=sin(x)+cos(2*x)slash2+1slash2:{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img51.png"
 ALT="\begin{mapleinput}
f1 := sin(x)+cos(x)^2:
f2 := sin(x)+cos(2*x)/2+1/2:
\end{mapleinput}">|; 
$key = q/{mapleinput}f:=proc(x)locals,t;s:=sin(x);t:=x^2;s*t+2*tend:{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img66.png"
 ALT="\begin{mapleinput}
f := proc(x) local s,t; s := sin(x); t := x^2; s*t+2*t end:
\end{mapleinput}">|; 
$key = q/{mapleinput}f:=proc(x,n)locali,t;t:=x;foritondot:=ln(t)od;tend:g:=PD(f,1,2);#computeD(D(f)){mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img75.png"
 ALT="\begin{mapleinput}
f := proc(x,n) local i,t;
t := x;
for i to n do t := ln(t) od;
g := PD(f,1,2);  ...">|; 
$key = q/{mapleinput}g:=PD(f,1);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img71.png"
 ALT="\begin{mapleinput}
g := PD(f,1);
\end{mapleinput}">|; 
$key = q/{mapleinput}map(D,eq);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img39.png"
 ALT="\begin{mapleinput}
map(D,eq);
\end{mapleinput}">|; 
$key = q/{mapleinput}mtaylor(f(x,y),[x,y],3);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img29.png"
 ALT="\begin{mapleinput}
mtaylor(f(x,y),[x,y],3);
\end{mapleinput}">|; 
$key = q/{mapleinput}read`PD.m`:{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img64.png"
 ALT="\begin{mapleinput}
read \lq PD.m\lq :
\end{mapleinput}">|; 
$key = q/{mapleinput}readlib(mtaylor);#loadthemultivariateseriespackage{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img27.png"
 ALT="\begin{mapleinput}
readlib(mtaylor);  ...">|; 
$key = q/{mapleinput}subs(D(x)=1,");{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img43.png"
 ALT="\begin{mapleinput}
subs(D(x)=1,'');
\end{mapleinput}">|; 
$key = q/{mapleinput}taylor(f(x),x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img25.png"
 ALT="\begin{mapleinput}
taylor(f(x),x);
\end{mapleinput}">|; 
$key = q/{mapleinput}unapply(",x);{mapleinput};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img62.png"
 ALT="\begin{mapleinput}
unapply('',x);
\end{mapleinput}">|; 
$key = q/{maplelatex}displaymath{-{{rm{cos}(,{{rm{cos}(,{x},),),{{rm{sin}(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img14.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
- {\rm cos}( {\rm cos}( {x} ) ) {\rm sin}( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{-{{rm{cos}^{(,2,)},{{rm{sin}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img16.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
- {\rm cos}^{( 2 )} {\rm sin}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{0displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img46.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{1.133397567displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img4.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
1.133397567
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{2,{{D}_{1}}(,{f},)(,{x}^{2},{y},{x},),{x}+{{D}_{2}}(,{f},)(,{x}^{2},{y},{x},),{y}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img34.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
2 {{D}_{1}}( {f} )( {x}^{2}, {y} {x}...
...{D}_{2}}( {
f} )( {x}^{2}, {y} {x} ) {y}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{2,{{rm{D}(,{f},)(,{x}^{2},),{x}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img32.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
2 {\rm D}( {f} )( {x}^{2} ) {x}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{2,{{rm{cos},{{rm{sin}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img12.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
2 {\rm cos} {\rm sin}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{2,{{rm{sin}(,{x},),{{rm{cos}(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img10.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
2 {\rm sin}( {x} ) {\rm cos}( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{langle{{rm{sin}(,{x},)+{{rm{cos}(,{x},)^{2},{mid},{x}rangledisplaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img50.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
\langle {\rm sin}( {x} ) + {\rm cos}( {x} )^{2} { \mid} {x
} \rangle
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{F}:={{rm{sin}+{{rm{cos}^{2}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img2.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{F} := {\rm sin} + {\rm cos}^{2}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{G}:={x}rightarrow{{rm{sin}(,{x},)+{{rm{cos}(,{x},)^{2}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img48.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{G} := {x} \rightarrow {\rm sin}( {x} ) + {\rm cos}( {x} )^{2
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{displaystylefrac{1}{2}},sqrt{3}+{displaystylefrac{1}{4}}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img6.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\displaystyle \frac {1}{2}} \sqrt {3} + {\displaystyle \frac {1
}{4}}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{frac{{partial}}{{partial}{x}}},{{rm{f}(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img59.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\frac {{ \partial}}{{ \partial}{x}}} {\rm f}( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{frac{{partial}}{{partial}{y}}},{{rm{f}(,{x},{y},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img18.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\frac {{ \partial}}{{ \partial}{y}}} {\rm f}( {x}, {y} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{g}:={{rm{PD}(,{f},1,)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img72.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{g} := {\rm PD}( {f}, 1 )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{g}:={{rm{PD}(,{f},1,2,)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img76.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{g} := {\rm PD}( {f}, 1, 2 )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{x}rightarrow{{rm{cos}(,{x},)-2,{{rm{cos}(,{x},),{{rm{sin}(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img57.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{x} \rightarrow {\rm cos}( {x} ) - 2 {\rm cos}( {x} ) {\rm
sin}( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{D}_{1,1,2}}(,{f},)={{D}_{1,1,2}}(,{f},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img24.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{{D}_{1, 1, 2}}( {f} )={{D}_{1, 1, 2}}( {f} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{D}_{2}}(,{f},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img20.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{{D}_{2}}( {f} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{it{eq}:={y}^{2},{x}+{y}^{3},{x}^{2}+{y}+3,{x}=0displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img38.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\it eq} := {y}^{2} {x} + {y}^{3} {x}^{2} + {y} + 3 {x}=0
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{D}(,{f},)(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img61.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm D}( {f} )( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{D}(,{f},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img63.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm D}( {f} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{D}(,{f},){{rm{@}{g},{{rm{D}(,{g},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img36.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm D}( {f} ){\rm @}{g} {\rm D}( {g} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{D}(,{y},)=-,{displaystylefrac{{y}^{2}+2,{y}^{3},{x}+3}{2,{y},{x}+3,{y}^{2},{x}^{2}+1}}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img44.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm D}( {y} )= -  {\displaystyle \fra...
...} + 3}{2 {y} {x} + 3 {y}^{2} {x}^{2} + 1}}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{cos}(,{x},),{x}^{2}+2,{{rm{sin}(,{x},),{x}+4,{x}-{{rm{PD}(,{f},1,)(,{x},)displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img74.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm cos}( {x} ) {x}^{2} + 2 {\rm sin...
...,{x} + 4 {x}
- {\rm PD}( {f}, 1 )( {x} )
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{cos}(,{x},),{x}^{2}+2,{{rm{sin}(,{x},),{x}+4,{x}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img70.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm cos}( {x} ) {x}^{2} + 2 {\rm sin}( {x} ) {x} + 4 {x}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{sin}(,{x},)+{{rm{cos}(,{x},)^{2}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img8.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm sin}( {x} ) + {\rm cos}( {x} )^{2}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{sin}(,{x},),{x}^{2}+2,{x}^{2}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img68.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm sin}( {x} ) {x}^{2} + 2 {x}^{2}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplelatex}displaymath{{{rm{sin}+{{rm{cos}^{2}displaymath{{maplelatex};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img54.png"
 ALT="\begin{maplelatex}
\begin{displaymath}
{\rm sin} + {\rm cos}^{2}
\end{displaymath}\end{maplelatex}">|; 
$key = q/{maplettyout}Error,couldnotopenPD.mforreading{maplettyout};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img65.png"
 ALT="\begin{maplettyout}
Error, could not open PD.m for reading
\end{maplettyout}">|; 
$key = q/{maplettyout}proc()...end{maplettyout};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img28.png"
 ALT="\begin{maplettyout}
proc() ... end
\end{maplettyout}">|;