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lyrics

For Maxima and minima
just take derivitinima!
Happiness, now just assess
the zero, zero, zero, zero!

Don’t forget you must inspect
the endpoints as they are suspect!
Find the values of our function,
look for Highs and Lows!

Local Maxima are on an Interval,
Local Minima are on an Interval!

Global Maxima aren’t on an Interval,
Global Minima aren’t on an Interval!
-terval! -terval! -terval!

Saddle, Peak and Trough and
Saddle, Peak and Trough and
Saddle, Peak and Trough and
Peak and Trough and
Peak and Trough and
Saddle, Peak and Trough and
Saddle, Peak and Trough and
Saddle. Saddle,
Peak and Trough and
Peak and Trough.

and!

Saddle, Peak and Trough and
Saddle, Peak and Trough and
Saddle, Peak and Trough and
Peak and Trough and
Peak and Trough and
Saddle, Peak and Trough and
Saddle, Peak and Trough and
Saddle. Saddle,
Peak and Trough and
Peak and Trough.

Now Maxima and minima
are also called the extrema.
Sometimes they can be absolute
as long as there’s no greater, lesser.

Relative implies a region that the extremum is in.
Don’t confuse a saddle point!
Don’t confuse a saddle point!
DON’t confuse a saddle point!
With an Extremum!

Local Maxima are on an Interval,
Local Minima are on an Interval!
Global Maxima aren’t on an Interval,
Global Minima aren’t on an Interval!
-terval! -terval! -terval!
Saddle, Peak and Trough!
etc.

credits

from Calculus: The Musical! 3rd Edition., released December 22, 2013

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