\batchmode

\documentstyle{article}
\makeatletter

\def\vskp{\vskip .125truein}

\def\LIM{\displaystyle {\lim_{\Delta x\to 0} } \; \; }

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ \Delta x $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline330: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ \displaystyle{ "0" \over 0 } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline332: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle{  \displaystyle{ 1 \over 2 }  x -     \displaystyle{ 3 \over 5 }    } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline336: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f'(x) = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle { {f(x + \Delta x) - f(x)} \over {\Delta x} } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline338: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$   = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{     \displaystyle{ 1 \over 2 } (x + \Delta x) - \displaystyle{ 3 \over 5 } -
       \{  \displaystyle{ 1 \over 2 } x - \displaystyle{ 3 \over 5 } \}                                 \over {\Delta x}   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline340: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$   = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{     \displaystyle{ 1 \over 2 } x +  \displaystyle{ 1 \over 2 } \Delta x -
\displaystyle{ 3 \over 5 } -  \displaystyle{ 1 \over 2 } x + \displaystyle{ 3 \over 5 }         \over {\Delta x}   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline342: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$   = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  \displaystyle{ 1 \over 2 } \Delta x  \over  \Delta x       }        $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline344: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{ 1 \over 2    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline348: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{ 1 \over 2 }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline350: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle { 5 x^2 - 3 x + 7 }$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline354: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$   = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle { { \{ 5 ( x + \Delta x )^2 - 3 (x + \Delta x) + 7\} - \{ 5 x^2 - 3 x + 7\} } \over {\Delta x} } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline358: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;    \displaystyle{ { 5 x^2 + 10 x \Delta x + 5 (\Delta x)^2 - 3 x - 3 \Delta x + 7 - 3 x^2 + 5 x - 7} \over  {\Delta x} } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline360: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{  { 10 x \Delta x + 5 ( \Delta x )^2 - 3 \Delta x} \over { \Delta x }  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline362: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  { \Delta x ( 10 x + 5 \Delta x - 3 ) } \over { \Delta x }  }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline366: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  (10 x + 5 \Delta x - 3 ) }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline370: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle{  10 x - 3  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline372: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle { 4 - \sqrt { x + 3 } }$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline376: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  { \{ 4 - \sqrt { (x + \Delta x ) + 3 } \} - \{ 4 - \sqrt {x + 3} \} } \over {\Delta x} } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline380: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{   { \sqrt { x + 3 } - \sqrt { x + \Delta x + 3 } } \over { \Delta x}   }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline382: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{      { { \sqrt { x + 3 } - \sqrt { x + \Delta x + 3 } } \over { \Delta x} }  \; \;
             {  { \sqrt { x + 3 } + \sqrt { x + \Delta x + 3 } } \over  { \sqrt { x + 3 } + \sqrt { x + \Delta x + 3 }  }  }  }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline384: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ (A - B)(A + B) = A^2 - B^2. $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline386: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{     { ( x + 3 ) - ( x + \Delta x + 3 ) }   \over 
                                   { \Delta x  \{  \sqrt { x + 3 } + \sqrt { x + \Delta x + 3 } \}  }   }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline388: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{    { - \Delta x } \over { \Delta x  \{  \sqrt { x + 3 } + \sqrt {x + \Delta x + 3 } \} }      }       $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline390: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{    { - 1 } \over { \sqrt { x + 3 } + \sqrt { x + \Delta x + 3 }  }    }     $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline394: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =   \displaystyle{    { - 1 } \over { \sqrt { x + 3 } + \sqrt { x + 3 }   }    }     $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline396: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{   { - 1 } \over { 2 \sqrt { x + 3 }  }   }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline398: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle { {x + 1} \over {2 - x}  }$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline402: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  {   \displaystyle{ { (x + \Delta x) + 1} \over {2 - (x + \Delta x) } } - { {x + 1} \over {2 - x} } } 
      \over  {\Delta x }  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline406: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ \displaystyle{   {1} \over  { \Delta x }   }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline410: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{     {    { (x + \Delta x + 1)(2 - x) - (x + 1)(2 - x - \Delta x) } \over { (2 - x - \Delta x)(2 - x) }    }
            \; \;   {  {1} \over  { \Delta x}  }        }  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline412: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{   {2x + 2 \Delta x + 2 - x^2 - x \Delta x - x - \{ 2 x - x^2 - x \Delta x + 2 - x - \Delta x\} }
            \over  { (2 - x - \Delta x)(2 - x) \Delta x }    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline416: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{   { 3 \Delta x }    \over   { (2 - x - \Delta x)(2 - x) \Delta x }    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline418: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;  \displaystyle{   { 3 }    \over   { (2 - x - \Delta x)(2 - x)  }    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline422: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{   { 3 }    \over   { (2 - x)(2 - x)  }    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline424: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{   { 3 }    \over   { (2 - x)^2  }  }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline426: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle {  x^{ 2 \over 3 }  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline430: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  ( x + \Delta x)^{ 2 \over 3 } - x^{ 2 \over 3 }  \over  {\Delta x }  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline434: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{   \{ ( x + \Delta x)^{ 2 } \} ^ { 1 \over 3 }  -   \{ x^{ 2 } \} ^ { 1 \over 3 }  
              \over  {\Delta x }  }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline436: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$    A - B = (A^{1 \over 3})^3 - (B^{1 \over 3})^3 
= ( A^{ 1 \over 3 } - B^{ 1 \over 3 } )( A^{ 2 \over 3 } + A^{ 1 \over 3 } B^{ 1 \over 3 } + B^{ 2 \over 3 } ) $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline440: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{    {    \{ ( x + \Delta x)^{ 2 } \} ^ { 1 \over 3 }  -   \{ x^{ 2 } \} ^ { 1 \over 3 }  
              \over  {\Delta x }   }   \; \;   
    {    \{ (x + \Delta x)^2 \}^{2 \over 3} + \{(x + \Delta x)^2 \}^{1 \over 3}\{x^2\}^{1 \over 3} +\{ x^2 \}^{2 \over 3} 
  \over    \{ (x + \Delta x)^2 \}^{2 \over 3} + \{(x + \Delta x)^2 \}^{1 \over 3}\{x^2\}^{1 \over 3} +\{ x^2 \}^{2 \over 3}       }    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline442: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  (x + \Delta x)^2 - x^2 
  \over    \Delta x \{ (x + \Delta x)^{4 \over 3} + (x + \Delta x)^{2 \over 3} x^{2 \over 3} + x^{4 \over 3}  \}    }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline444: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  x^2 + 2 x \Delta x + (\Delta x)^2 - x^2
  \over    \Delta x \{ (x + \Delta x)^{4 \over 3} + (x + \Delta x)^{2 \over 3} x^{2 \over 3} + x^{4 \over 3}  \}     }     $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline446: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  \Delta x \{ 2 x + \Delta x \} 
  \over    \Delta x \{ (x + \Delta x)^{4 \over 3} + (x + \Delta x)^{2 \over 3} x^{2 \over 3} + x^{4 \over 3}  \}     }     $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline448: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  2 x + \Delta x  
  \over     (x + \Delta x)^{4 \over 3} + (x + \Delta x)^{2 \over 3} x^{2 \over 3} + x^{4 \over 3} }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline452: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{ 2 x  \over  x^{4 \over 3} + x^{4 \over 3} + x^{4 \over 3}      }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline454: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{  2 x  \over  3 x^{4 \over 3}    }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline456: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =  \displaystyle{  2  \over 3 x^{1 \over 3}    }     $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline458: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ f(x) = \displaystyle { cos  \  3x } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline462: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  cos \ 3(x + \Delta x) - cos  \  3x      \over    \Delta x   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline466: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  cos \ (3x +  3 \Delta x) - cos  \  3x      \over    \Delta x   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline468: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ cos \ (A + B) = cos \ A \ cos \ B - sin \ A \ sin \ B $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline470: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{  \{  cos \ 3x  \ cos \ (3 \Delta x) - sin  \  3x \ sin \ (3 \Delta x) \} - cos \ 3x      
                          \over      \Delta x   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline472: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \; \displaystyle{ cos \ 3x  \ ( cos \ (3 \Delta x) - 1) - sin  \  3x \ sin \ (3 \Delta x)        
                          \over      \Delta x   } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline474: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ \displaystyle{  \lim_{ h \to 0} \  { cos \; h - 1 \over h }  = 0 } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline476: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ \displaystyle{  \lim_{ h \to 0} \  { sin \; h \over h } = 1  } $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline478: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;    \{  \    \displaystyle{   cos \ 3x   \   { cos \  (3 \Delta x) - 1  \over  \Delta x }
                                   \     -    \                sin \ 3x   \;   { sin \ (3 \Delta x)   \over   \Delta x }  }   \   \} $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline480: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle {\lim_{\Delta x\to 0} } \; \;    \{  \    \displaystyle{ 3  \  cos \ 3x   \    { cos \  (3 \Delta x) - 1  \over  3 \Delta x }
                                    \    -     \          3 \     sin \ 3x   \    { sin \ (3 \Delta x)   \over  3  \Delta x }  }   \   \} $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline482: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ =    \displaystyle{ 3  \  cos \ 3x   \  \{ \  \displaystyle {\lim_{\Delta x\to 0} } \; \;  { cos \  (3 \Delta x) - 1  \over  3 \Delta x }  \ \}
                                    \    -     \          3 \     sin \ 3x   \  \{  \  \displaystyle {\lim_{\Delta x\to 0} } \; \;  { sin \ (3 \Delta x)   \over  3  \Delta x }   \  \}  }    $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline484: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle{  3  \  cos \ 3x  \  \{ 0 \}  \  -  \  3  \   sin \ 3x   \  \{ 1 \}  }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline486: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$ = \displaystyle{ - 3  \   sin \ 3x  }   $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline488: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{section}

\end{document}
