Turn the Dial to e: The Only Base Where Slope Equals Height
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Turn the Dial to e: The Only Base Where Slope Equals Height
Turn one dial. At base 2, the derivative of 2^x runs below the curve — everywhere. At base 3, it runs above — everywhere. Exactly one base in between locks the two curves together, and that base is e = 2.71828... This video builds e from the property that defines it: among all exponential functions of the form a^x (with base a ＞ 0 ...
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