Songs and Lyrics (Lehrer)/The Derivative Song (dy/dx)
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The Derivative Song (dy/dx)
words by Tom Lehrer | |
music: | "There'll Be Some Changes Made" by W. Benton Overstreet (1921) (public domain) |
You take a function of x and you call it y
Take any x-nought that you care to try
You make a little change and call it delta x
The corresponding change in y is what you find nex'
And then you take the quotient and now carefully
Send delta x to zero, and I think you'll see
That what the limit gives us, if our work all checks,
Is what we call dy/dx,
It's just dy/dx.
Take any x-nought that you care to try
You make a little change and call it delta x
The corresponding change in y is what you find nex'
And then you take the quotient and now carefully
Send delta x to zero, and I think you'll see
That what the limit gives us, if our work all checks,
Is what we call dy/dx,
It's just dy/dx.
The Derivative Song
words by Tom Lehrer | |
music: | "There'll Be Some Changes Made" (public domain) by W. Benton Overstreet (original lyrics by Billy Higgins) |
caption on screen | |
---|---|
You take a function of x and you call it y | |
Take any x-nought that you care to try | |
You make a little change and call it delta-x | |
The corresponding change in y is what you find nex' | |
And then you take the quotient and now carefully | |
Send delta-x to zero and I think you'll see | |
That what the limit gives us if our work all checks | |
Is what we call dy/dx | |
It's just dy/dx |
The Derivative Song (dy/dx)
words by Tom Lehrer | |
music: | "There'll Be Some Changes Made" by W. Benton Overstreet (1921) (original lyrics by Billy Higgins) |
You take a function of x and you call it y
Take any x-nought that you care to try
You make a little change and call it delta x
The corresponding change in y is what you find nex'
And then you take the quotient and now carefully
Send delta x to zero, and I think you'll see
That what the limit gives us, if our work all checks,
Is what we call dy/dx,
It's just dy/dx.
Take any x-nought that you care to try
You make a little change and call it delta x
The corresponding change in y is what you find nex'
And then you take the quotient and now carefully
Send delta x to zero, and I think you'll see
That what the limit gives us, if our work all checks,
Is what we call dy/dx,
It's just dy/dx.
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You take a func -- tion of x and you call it y.
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