77 lines
3.5 KiB
TeX
77 lines
3.5 KiB
TeX
\begin{song}[remember-chords=false]{title={Calculus Rhapsody}, music={Queen}, lyrics={Phil Kirk \& Mike Gospel}}
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\begin{verse}
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^{G7}Is this $x$ defined? ^{C7}Is $f$ ^*{Gm7}con ^*{C7}ti ^*{Gm7}nu ^{C7}ous? \\
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^{F7}How do you ^{Cm7}find ^{F7}out? You can ^{B}use the ^*{Cm7} li^{B}mit ^*{F7} pro^{B}cess. \\
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^{Gm7}Approach from both sides, The ^{B7}left and the right and ^{Eb}meet. \\
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^{Cm7}I'm a just a limit, ^{F7}defined analytically. Functions \\
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^*{H}continu ^{B}ous, ^{A}Theres no ^{B}holes, ^{H}No sharp ^{B}points, ^{A}Or asymp^{B}totes. \\
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^{Eb}Any way this ^{B}graph goes. ^{C#dim7}It is diffe^{F7}rentiable for me for ^{B}me.
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\end{verse}
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\begin{verse}
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^{B}All year, in ^{Gm}Calculus Weve ^{Cm}learned so many things \\
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About which ^{Cm7}we are going to ^{F7}sing \\
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^{B}We can find derivatives And ^{Gm}integrals \\
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And ^{Cm}the area en^{Eb}closed bet^{Eb}ween ^{Am7}two curves.
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\end{verse}
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\begin{verse}
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^{Eb}$y$ prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}$y$ \\
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$y$ ^{B7}equals $x$ to the $n$, $dy/dx$ \\
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^{B}Equals ^{Cm}$n$ times ^{Abm}$x$ To the ^{Eb}$n-1$. \\
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\end{verse}
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\begin{verse}
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^{B}Other a^{Gm}pplications Of de^{Cm}rivatives apply \\
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If $y$ is di^{Cm7}vided or multi^{F7}plied \\
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^{B}You use the quotient And ^{Gm}product rules \\
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And ^{Cm}dont you for^{Eb}get To ^{B}do ^{Ab}the dance ^{Eb} \\
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\end{verse}
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\begin{verse}
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^{Eb}Also ^{B}oooh^{Cm}\_\_\_ (dont forget the chain rule) \\
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^{Fm}Before you are ^*{Ab}done ^{Dm7}, You ^{B7}gotta remember to multiply by the chain \\
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\end{verse}
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Mezihra, crazy kytarové sólo
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\begin{verse}
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^{A} ^{D}I ^{A}need to ^{Adim}find ^{A}the ^{D}area ^{A}under a ^{Adim}curve \\
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^*{A}Inte ^{D}grate! ^*{A}Inte ^{D}grate! ^{A}You can ^{Adim}use the ^*{A}inte ^*{D}gra ^{A}tion \\
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^{Db}Raise exponent ^{Ab7}by one ^{C}multiply the ^*{E7}recipro ^{A}cal \\
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Add a constant Add a constant \\
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Add a constant Add a constant \\
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Add a constant labeled $C$ \\
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(Labeled $C$-ee-ee-ee-ee) \\
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\end{verse}
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\begin{verse}
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^{H}Im ^{B}just a ^*{A}cons ^{B}tant ^*{H}No ^{B}body ^{A}loves ^{B}me. \\
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^{Ab}He's ^{Eb}just a ^*{Ebdim}cons ^{Eb}tant ^{Ab}Might as ^{Eb}well just ^{Ebdim}call it ^{Eb}$C$ \\
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^{Ab}Never for^{Eb}get to add ^{F7}the constant ^{B}$C$ \\
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\end{verse}
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\begin{verse}
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Can you find the area between $f$ and $g$ \\
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In-te-grate $f$ and then integrate $g$ \\
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(then subtract) \\
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To revolve around the y-axis \\
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(integrate) \\
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outer radius squared minus inner radius squared \\
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(multiplied) \\
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multiplied by $\pi$ \\
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(multiply) \\
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Multiply the integral by $\pi$! \\
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$\pi$ tastes real good with whipped cream! \\
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Mama-Mia, Mama-Mia \\
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Mama-Mia let me go. \\
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Pre-calculus did not help me to prepare for Calculus, for Calculus, help me! \\
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\end{verse}
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(Interlude)
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\begin{verse}
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So you think you can find out the limit of $y$? \\
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So you think youll find zero and have it defined \\
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Oh baby cant define that point baby \\
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Its undefined Goes to positive and negative infinity \\
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Oooh. Oooh yeah, oooh yeah. Differentiation \\
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Anyone can see Any mere equation \\
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It is differentiable for me. \\
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(Any way this graph goes) \\
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\end{verse}
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\end{song} |