https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/ Math lessons that click Sat, 08 Mar 2025 20:02:33 +0000 hourly 1 https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568367 Sat, 08 Mar 2025 20:02:33 +0000 http://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568367 with 4 splits you got only 8 as seen in the graph then how it is 16? what am i missing here?

]]> https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568297 Mon, 14 Aug 2023 11:03:24 +0000 http://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568297 I watched a video of an MIT math professor Gilbert Strang that explains how to obtain e^x (the function/polynomial that is equal to its derivative), we start with 1 if we derive it we obtain 0 but 0 is always present in both the the function and its derivative. Then we want 1 in the derivative so we add x to f(x), now the equation is 1 + x but x is still missing in the derivative, so we continue, we need to derive something that give us x and it's (x^2)/2 so now the function is 1 + x + (x^2)/2. the derivative lacks the (x^2/2) so we have to add something when derived will output (x^2/2) and it's x^3 / (1 * 2 * 3). the pattern for the other terms of the exp function is x^n/n! this explains taylor series too ! the video : https://www.youtube.com/wat...

]]> https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568236 Sun, 03 Jul 2022 06:40:15 +0000 http://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568236 https://www.youtube.com/wat...
This one of the best systematic Explanation of e

]]> https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568213 Sun, 20 Mar 2022 23:39:16 +0000 http://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/#comment-568213 Great article. Questions - how would you conceptualize using e for negative growth rates?

]]>