>>10956648Let's take the derivative of a general exponeial function.
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Where F(b) is a function of b:
Now for some value b=c F(c) = 1.
Setting we take the derivative.
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Using this new identity, let's calculate c.
for a function
, we let it taketh form of a power series:
Where:
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If we let f(x) = c^x, then
Setting x = 1, we get the value of c
This means the base is c= 2.7182818284...
Which we call "e".