I watched the Unit 1, Session 17 clip explaining why e is in fact "the most natural logarithmic function" but I still don't understand why or how it is... I don't know why it's just not clicking for me, I've read the notes for the clip and I still don't understand why/how it's more natural than any other base?
OCW Scholar - Single Variable Calculus
Stacey Warren - Expert brainly.com
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The derivative of e^x is "simpler" than the derivative of b^x where b is any other base.
So maybe that is enough to claim e is "more natural"
But "e" crops up in the most amazing way, and seems very special. See