calculus rhapsody 2

I will derive + latex notation

pisne/IWillDerive.tex

@@ -20,8 +20,8 @@
     \end{refren}
     \begin{refren}
         And so now ^I, I will de^rive. \\
-        Find the ^derivative of x position ^with respect to time. \\
+        Find the ^derivative of $x$ position ^with respect to time. \\
-        It's as ^easy as can be, just have to ^take dx/dt. \\
+        It's as ^easy as can be, just have to ^take $dx/dt$. \\
         I will de^rive, I will de^rive. Hey, hey!
     \end{refren}
 
@@ -48,8 +48,8 @@
     \end{refren}
     \begin{refren}
         And so now ^I, I will de^rive. \\
-        Find the ^derivative of velocity ^with respect to time. \\
+        Find the ^derivative of $v$ position ^with respect to time. \\
-        It's as ^easy as can be, just have to ^take dv/dt. \\
+        It's as ^easy as can be, just have to ^take $dv/dt$. \\
         I will de^rive, I will de^rive.
     \end{refren}
     \begin{refren}
@@ -61,8 +61,8 @@
     \end{refren}
     \begin{refren}
         And so now ^I, I will de^rive. \\
-        Find the ^derivative of x position ^with respect to time. \\
+        Find the ^derivative of $x$ position ^with respect to time. \\
-        It's as ^easy as can be, just have to ^take dx/dt. \\
+        It's as ^easy as can be, just have to ^take $dx/dt$. \\
         I will de^rive, I will de^rive, I will derive!
     \end{refren}
 \end{song}

pisne/calculusRhapsody.tex

@@ -1,9 +1,9 @@
 \begin{song}[remember-chords=false]{title={Calculus Rhapsody}, music={Queen}, lyrics={Phil Kirk \& Mike Gospel}}
     \begin{verse}
-        ^{G7}Is this x defined? ^{C7}Is f ^*{Gm7}con ^*{C7}ti ^*{Gm7}nu ^{C7}ous? \\
+        ^{G7}Is this $x$ defined? ^{C7}Is $f$ ^*{Gm7}con ^*{C7}ti ^*{Gm7}nu ^{C7}ous? \\
         ^{F7}How do you ^{Cm7}find ^{F7}out? You can ^{B}use the ^*{Cm7} li^{B}mit ^*{F7} pro^{B}cess. \\
         ^{Gm7}Approach from both sides, The ^{B7}left and the right and ^{Eb}meet. \\
-        ^{Cm7}Im a just a limit, ^{F7}defined analytically. Functions \\
+        ^{Cm7}I'm a just a limit, ^{F7}defined analytically. Functions \\
         ^*{H}continu ^{B}ous, ^{A}Theres no ^{B}holes, ^{H}No sharp ^{B}points, ^{A}Or asymp^{B}totes. \\
         ^{Eb}Any way this ^{B}graph goes. ^{C#dim7}It is diffe^{F7}rentiable for me for ^{B}me.
     \end{verse}
@@ -14,46 +14,49 @@
         And ^{Cm}the area en^{Eb}closed bet^{Eb}ween ^{Am7}two curves.
     \end{verse}
     \begin{verse}
-        ^{Eb}Y prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}y \\
+        ^{Eb}$y$ prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}$y$ \\
-        Y ^{B7}equals x to the n, dy/^{Eb}dx \\
+        $y$ ^{B7}equals $x$ to the $n$, $dy/dx$ \\
-        ^{B}Equals ^{Cm}n times ^{Abm}x To the ^{Eb}n-1. \\
+        ^{B}Equals ^{Cm}$n$ times ^{Abm}$x$ To the ^{Eb}$n-1$. \\
     \end{verse}
     \begin{verse}
-        Other applications Of derivatives apply \\
+        ^{B}Other a^{Gm}pplications Of de^{Cm}rivatives apply \\
-        If y is divided or multiplied \\
+        If $y$ is di^{Cm7}vided or multi^{F7}plied \\
-        You use the quotient And product rules \\
+        ^{B}You use the quotient And ^{Gm}product rules \\
-        And dont you forget To do the dance \\
+        And ^{Cm}dont you for^{Eb}get To ^{B}do ^{Ab}the dance ^{Eb} \\
-        Also oooh (dont forget the chain rule) \\
+    \end{verse}
-        Before you are done, \\
+    \begin{verse}
-        You gotta remember to multiply by the chain \\
+        ^{Eb}Also ^{B}oooh^{Cm}\_\_\_ (dont forget the chain rule) \\
+        ^{Fm}Before you are ^*{Ab}done ^{Dm7}, You ^{B7}gotta remember to multiply by the chain \\
     \end{verse}
 
-    (Instrumental solo)
+    Mezihra, crazy kytarové sólo
 
     \begin{verse}
-        I need to find the area under a curve \\
+        ^{A} ^{D}I ^{A}need to ^{Adim}find ^{A}the ^{D}area ^{A}under a ^{Adim}curve \\
-        Integrate! Integrate!  You can use the integration \\
+        ^*{A}Inte ^{D}grate! ^*{A}Inte ^{D}grate!  ^{A}You can ^{Adim}use the ^*{A}inte ^*{D}gra ^{A}tion \\
-        Raise exponent by one multiply the reciprocal \\
+        ^{Db}Raise exponent ^{Ab7}by one ^{C}multiply the ^*{E7}recipro ^{A}cal \\
-        Plus a constant Plus a constant \\
         Add a constant Add a constant \\
-        Add a constant labeled C \\
+        Add a constant Add a constant \\
-        (Labeled C-ee-ee-ee-ee) \\
+        Add a constant labeled $C$ \\
-        Im just a constant \\
+        (Labeled $C$-ee-ee-ee-ee) \\
-        Nobody loves me. \\
+    \end{verse}
-        Hes just a constant \\
+    \begin{verse}
-        Might as well just call it C \\
+        ^{H}Im ^{B}just a ^*{A}cons ^{B}tant ^*{H}No ^{B}body ^{A}loves ^{B}me. \\
-        Never forget to add the constant C \\
+        ^{Ab}He's ^{Eb}just a ^*{Ebdim}cons ^{Eb}tant ^{Ab}Might as ^{Eb}well just ^{Ebdim}call it ^{Eb}$C$ \\
-        Can you find the area between f and g \\
+        ^{Ab}Never for^{Eb}get to add ^{F7}the constant ^{B}$C$ \\
-        In-te-grate f and then integrate g \\
+    \end{verse}
+    \begin{verse}
+        Can you find the area between $f$ and $g$ \\
+        In-te-grate $f$ and then integrate $g$ \\
         (then subtract) \\
         To revolve around the y-axis \\
         (integrate) \\
         outer radius squared minus inner radius squared \\
         (multiplied) \\
-        multiplied by pi \\
+        multiplied by $\pi$ \\
         (multiply) \\
-        Multiply the integral by pi! \\
+        Multiply the integral by $\pi$! \\
-        Pi tastes real good with whipped cream! \\
+        $\pi$ tastes real good with whipped cream! \\
         Mama-Mia, Mama-Mia \\
         Mama-Mia let me go. \\
         Pre-calculus did not help me to prepare for Calculus, for Calculus, help me! \\
@@ -62,7 +65,7 @@
     (Interlude)
 
     \begin{verse}
-        So you think you can find out the limit of y? \\
+        So you think you can find out the limit of $y$? \\
         So you think youll find zero and have it defined \\
         Oh baby cant define that point baby \\
         Its undefined Goes to positive and negative infinity \\