AP Calc Rap (Mixtape)

This is our creative final project for AP Calculus 2019, CiCi and I made our first attempt to write the lyrics for a song, well, actually, two songs. Please forgive our unprofessional rap skills and we hope you enjoy the video. Many thanks to our dear friends: Melody X, Kristy Z, Jade L, Rebecca A and all the amazing human beings who have made this happened. It would be impossible for us to create this video without your help❤️❤️❤️ ——Justina Liu, June 12, 2019 Lyrics: ”Xi Yang Xi Xia” Knowing derivative is the slope of the graph, for calculus It shouldn’t be thought to be enough Take the x value and divide it by the y, Then remember you have to simplify. Try to do some calculus before integral? You have to know about some handy rules: Addition, subtraction, and product principle, with quotient, power, chain, and trig rules If two variables are multiplied Then the product rule is now applied Take two derivatives and cross multiply Again you need to remember to simplify Numerator deriving, divisor timing Denominator being, meant for copying Products subtracting, no more adding Square the denominator quotient’s completing Take any exponent, multiply by coefficient, Don’t forget to subtract by the number one en To find derivative, that’s very important, That are those pity things you have to remember Product to quotient, have different transversions, Sine cosine tangent should be done no less, then friend, Derivative all fine, for sine to cosine, but cosine to sine have another negative sign Second derivative ne-gative, you have a face sad and blue, which is no good, thus keep your second derivative positive And Give yourself a big laugh laugh Oh we forget the limits! Which is about not destinations but approaches Only when both, values and limits equally exist, the graph is continuous at points L’Hopital’s rule only applies for zero infinity over infinity zero Differentiation, rate of change, while integration reverses the situation, Despite the method, calculation, With information, find equations Moving forward, gonna face integration, Used in all occasions, result in accumulation. Imagine the world, without any motion, Distance to speed to acceleration, We learn about calculus, in progression Speeding up VA, same sign motion; Imagine the world, without any motion, Distance to speed to acceleration, We learn about calculus, in progression Slowing down VA, opposite sign motion ”Culture” Integration, area under the curve Antiderivatives, measure area under the curve, Definite integrals, limits upper and lower, Indefinite integrals need a constant C, yo Derivative undo, give integral a key clue Put my integration to every curve I drew Cross section include, the slice volume deja vu, Accumulating functions are what I’m up to Calc, to enter the dim world Derive as to survive, without a waste of spare words With First Principle along sword, the basic calc I conquered Inherit the exponent’s crown, demote to rule upon powered So~ Integrate anything, Don’t forget your plus C, Constant is so easy, Hold your marks perfectly Astronomy, economy, engineering and marketing, Daily things change shall we begin, calculus comes in The use of Riemann sum equation, been underestimated. LRAM, RRAM with MRAM, which is overestimated? Halve the sum of both bases, times dx that’s the trapezoid, As the basis of integral, the area may be approximated Employing IVT to justify the point existency Follow the sloping trend, called the MVTD Locating max and min, the theorem of EVT Using MVTI to evaluate f(c), the rectangle is the Avg (average) Right! My notes are all messy, But they are all fancy, Calculus can be used for chemistry. U-substitution, solve the composition, Oh wait don’t forget the implicit diffe-renti-ation, Integration, area under the curve Antiderivatives, measure area under the curve, Definite integrals, limits upper and lower, Indefinite integrals need a constant C oh Derivative undo, give integral a key clue Put my integration to every curve I drew Cross section include, the slice volume deja vu, Accumulating functions are what I’m up to Subtracting from the radius, revolving around the axis Restricted to a certain region, washer disk confusion A ceaseless sketch of slope field, countless graph we yield Everything’s in order, AP Calc my honor! Music: “Xi Yang Xi Xia” by Fox & Hayrul https://music.163.com/song?id=1315616... “Culture” by Fox & Viito https://music.163.com/song?id=5621195... Production Designer: ∫2C dC Director: ∫2C dC Composer: ∫2C dC Justina Liu Location Manager: ∫2C dC Makeup: Kristy Zhang Justina Liu Photographer: Melody Xi Jade Lin Rebecca Sun Leading Actor: ∫2C dC Justina Liu Post-Production Director: ∫2C dC