What's so special about Euler's number e? Essence of Calculus - Part 5 of 11

The video tutorial explores the derivatives of exponential functions, focusing on 2 to the x and e to the x. It explains the concept of derivatives over different time scales and introduces the special constant e, which is unique because its derivative is equal to itself. The tutorial also discusses the role of natural logarithms in understanding derivatives and highlights real-world applications of exponential functions, such as population growth and cooling rates.

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