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Derivative of ln x from the derivative of eˣ
Автор: MathAdam, ADHD
Загружено: 2021-09-24
Просмотров: 376
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The derivative of ln x. The logarithm of x is the inverse function of eˣ. Start by defining eˣ by first principles and expanding it according to the binomial theorem. From Calculus Made Easy, Chapter XIV, "On true Compound Interest and the Law of Organic Growth" (free PDF: https://bit.ly/EasyCalculus)
Also see: This Function is its own Derivative • This function is its own derivative
0:00 Simple Interest
1:04 Compound Interest
2:16 Infinite sum for e using binomial theorem
4:48 Infinte sum for eˣ
5:49 Derivative of eˣ
5:56 Derivative of the inverse of eˣ
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