Natural Exponential Function: y = e^x
In this video I go over the natural exponential function y = e^x and define it strictly from looking at the inverse of the natural logarithmic function y = ln(x). The natural exponential function is one of the most widely used and important function in all of mathematics so it is important to understand the definition of it.
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Related Videos:
Natural Logarithms Defined as Integrals: Introduction: http://youtu.be/M-N2PQ5UZns
Laws of Logarithms: ln(xy) = ln(x) + ln(y): http://youtu.be/2SCZzFy2b2s
Laws of Logarithms: ln(x/y) = ln(x) - ln(y): http://youtu.be/GXkyY9EmDGM
Laws of Logarithms: ln(x^r) = rln(x): http://youtu.be/mvJK8lQcdTY
Graph of Natural Logarithm y = ln(x): http://youtu.be/GZkwYVdbluc
Exponential Functions and Graphing: http://youtu.be/FFNwh8KR9-Q
The Number e - A Brief Introduction and it's Derivative: http://youtu.be/o_s_YYD6v3g
A Simple Proof that the number e = 2.71828183...: http://youtu.be/NDb80lP3Tr4
Inverse Functions - f-1(x) - An Introduction: http://youtu.be/qIqj3oKwFi8
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
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I don't always define the natural exponential function e^x but when I do I first look at the inverse of ln(x) ;)
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