A Critical Point

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lyrics

The first derivative will show you
increase or decrease.
It’s positive or negative
y’know respectively.

If the d’rivative is zero
or it’s undefined,
then that point is critical
and always on your mind!

You know a saddle is a critical point,
that also is an inflection point.
You know, you know a saddle is an inflection point,
that also is a critical point.

The second d’rivative will tell you
concave up or down.
Concave up, positive smile
and down negative frown.

The second d’rivative is zero
in between the sections,
of concave up or down
and they are called points of inflection.

You know a saddle is a critical point,
that also is an inflection point.
You know, you know a saddle is an inflection point,
that also is a critical point.

It’s a critical, it’s a critical, it’s a critical point.

credits

from icanhasmatheatre! The Archive., released August 28, 2014

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