# The Derivative Song (dy/dx)

**The Derivative Song (dy/dx)**

**words by Tom Lehrer**

**music: "There'll Be Some Changes Made"**

**music: "****by W. Benton Overstreet (1921)**

**music: "****(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.

**THE DERIVATIVE SONG**

**words by Tom Lehrer**

**music: "There'll be Some Changes Made"** *(public domain)*

**music: "****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 |

This work is in the **public domain** worldwide because it has been so released by the copyright holder.