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lyrics

Take two points called A and B,
and find the slope so easily:
Rise over Run,
of the line through them.

In between, now there’s a point,
its name is C, and I surely don’t…
Wanna underestimate its importance.

‘Cause what the point proves now
is the Mean Value Theorem,
which holds for continuous curves.

‘Cause the slopes at point C
and the line that I mention,
are equal as can be observed.

I don’t know what the world may need,*
but another theorem’s a good start for me.
Take two points of the same value on a function.

C’s still a point that’s in between,
that Theorem of Value sure is Mean.
think I mean...that it’s time...to extend it.

'Cause what the curve needs now
are some true words of wisdom,
like: Horizontal Tangent at Point C,
yet...

I said I need a point C,
with an instant slope of zero,
like I need a Rolle in my head.


*This line is the same as the original.

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

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