The Ballad of Taylor and Maclurin
from Calculus: The Musical! 3rd Edition. by icanhasmath
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lyrics
“A function can become a sweet series,”
said Taylor as he stepped into the breeze.
“From term zero to term infinity,
you’ll find out every term so easily:
Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”
Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”
It is the essence of simplicity
factorials and powers: 0, 1, 2, 3, ...
Expansion of the series is the key
relating sine, the cosine, i and e...
Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”
Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”
said Taylor as he stepped into the breeze.
“From term zero to term infinity,
you’ll find out every term so easily:
Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”
Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”
It is the essence of simplicity
factorials and powers: 0, 1, 2, 3, ...
Expansion of the series is the key
relating sine, the cosine, i and e...
Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”
Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”
credits
from Calculus: The Musical! 3rd Edition.,
released December 22, 2013
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Aug 2014 -
Dec 2013 -
Oct 2011 -
Dec 2010 -
Oct 2009
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