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calculus rhapsody 2

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I will derive + latex notation
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prokop
2026-07-20 18:17:36 +02:00
parent 469b7f4839
commit 3c4da098c3
3 changed files with 39 additions and 36 deletions
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pisne/IWillDerive.tex
+6 -6
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@@ -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. \\
It's as ^easy as can be, just have to ^take dx/dt. \\
Find the ^derivative of $x$ position ^with respect to time. \\
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. \\
It's as ^easy as can be, just have to ^take dv/dt. \\
Find the ^derivative of $v$ position ^with respect to time. \\
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. \\
It's as ^easy as can be, just have to ^take dx/dt. \\
Find the ^derivative of $x$ position ^with respect to time. \\
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
+33 -30
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@@ -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 \\
Y ^{B7}equals x to the n, dy/^{Eb}dx \\
^{B}Equals ^{Cm}n times ^{Abm}x To the ^{Eb}n-1. \\
^{Eb}$y$ prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}$y$ \\
$y$ ^{B7}equals $x$ to the $n$, $dy/dx$ \\
^{B}Equals ^{Cm}$n$ times ^{Abm}$x$ To the ^{Eb}$n-1$. \\
\end{verse}
\begin{verse}
Other applications Of derivatives apply \\
If y is divided or multiplied \\
You use the quotient And product rules \\
And dont you forget To do the dance \\
Also oooh (dont forget the chain rule) \\
Before you are done, \\
You gotta remember to multiply by the chain \\
^{B}Other a^{Gm}pplications Of de^{Cm}rivatives apply \\
If $y$ is di^{Cm7}vided or multi^{F7}plied \\
^{B}You use the quotient And ^{Gm}product rules \\
And ^{Cm}dont you for^{Eb}get To ^{B}do ^{Ab}the dance ^{Eb} \\
\end{verse}
\begin{verse}
^{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 \\
Integrate! Integrate! You can use the integration \\
Raise exponent by one multiply the reciprocal \\
Plus a constant Plus a constant \\
^{A} ^{D}I ^{A}need to ^{Adim}find ^{A}the ^{D}area ^{A}under a ^{Adim}curve \\
^*{A}Inte ^{D}grate! ^*{A}Inte ^{D}grate! ^{A}You can ^{Adim}use the ^*{A}inte ^*{D}gra ^{A}tion \\
^{Db}Raise exponent ^{Ab7}by one ^{C}multiply the ^*{E7}recipro ^{A}cal \\
Add a constant Add a constant \\
Add a constant labeled C \\
(Labeled C-ee-ee-ee-ee) \\
Im just a constant \\
Nobody loves me. \\
Hes just a constant \\
Might as well just call it C \\
Never forget to add the constant C \\
Can you find the area between f and g \\
In-te-grate f and then integrate g \\
Add a constant Add a constant \\
Add a constant labeled $C$ \\
(Labeled $C$-ee-ee-ee-ee) \\
\end{verse}
\begin{verse}
^{H}Im ^{B}just a ^*{A}cons ^{B}tant ^*{H}No ^{B}body ^{A}loves ^{B}me. \\
^{Ab}He's ^{Eb}just a ^*{Ebdim}cons ^{Eb}tant ^{Ab}Might as ^{Eb}well just ^{Ebdim}call it ^{Eb}$C$ \\
^{Ab}Never for^{Eb}get to add ^{F7}the constant ^{B}$C$ \\
\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! \\
Pi tastes real good with whipped cream! \\
Multiply the integral by $\pi$! \\
$\pi$ 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 \\
zpevnik.pdf
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