The number e is a #mathematicalConstant approximately equal to 2.71828 that is the #base of the #naturalLogarithm and #exponentialFunction. It is sometimes called Euler's number, after the Swiss mathematician #LeonhardEuler, though this can invite confusion with #EulerNumbers, or with #EulersConstant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after #JohnNapier.
My wife was working through finding the derivative of the #exponential #function #exp(x) from first principles.I was made aware that she hadn’t actually seen why the number e=2.7128… was the #base the of the function and that that’s what you need to start with. In fact, that means one must actually start by finding the first differential of a general #logarithm and find #e from there. Once you’ve find the #Derivative of #lln, the #derivative of the #ExponentialFunction is straightforward. (1/2)
Do humans understand the #ExponentialFunction?