A little ditty about all your favorite differential rules from calculus!
Song written, recorded, performed by Em McKeever. Video editing by Em McKeever.
Special thanks to Gary Habbart, my calculus teacher, for sending me the only extant copy of the lyrics!
Special thanks also to Ryan Gingo for wrangling cameras and supplying all the video equipment, green screen, and lighting.
I'm accepting students of guitar, ukulele, electric bass, beginner banjo, mandolin, and lap dulcimer -- drop me a line at my website:
emkeev.com
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Lyrics:
You say dy/dx, I say f prime
No matter what you call it, it’s a change over time
When we find derivatives, we see the rates relate
Now c’mon, let’s differentiate
The derivative of a constant always equals none
Exponents descend before you take their value down
A constant times an X is the constant when you’re done
But terms are sep’rate when there’s plus and minus all around
If you want a derivative of terms all multiplied
U by V prime, V by U prime, add them and you’re there
If you take derivatives of terms on the divide
Low de hi less hi de low all over low squared
CHORUS
There’s a few special functions that stand all alone
Trigonometric functions have derivatives of their own:
Sin X to cosine X, tangent x to secant squared
Secant X to tangent secant, too
If you add the prefix -co, and negate the other side,
The cosine, cosecant, cotangent functions are what you’ve derived
Derivatives of inverse trigs get special treatment too,
But here’s a few other special functions for you:
E raised to a number, a number raised to x
Natural logs and logarithms -- don't forget du/dx
Негізгі бет The Derivative Song
Пікірлер: 6