10 Differentiating ex and its friends

10 Differentiating ex and its friends - Next: Integrating...

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Next: Integrating e x and its Up: Doing that Calc Thing Previous: Doing that Calc Thing Differentiating e x and its friends Remember: 1. e is a number whose value is about 2.72. 2. e is used as the base for the exponential and logarithm functions, e x and . The function e x has the following amazing property: The derivative of e x is just e x again. That's kind of like giving birth to yourself, a very difficult event to achieve, and one that would get you major tabloid coverage. NEWS FLASH: ``I AM MY OWN MOTHER," FUNCTION CLAIMS! In fact, e x and its multiples are the only functions that are their own derivatives. For this reason
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10 Differentiating ex and its friends - Next: Integrating...

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