Difference between revisions of "Math 22 Derivatives of Exponential Functions"
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(Created page with "==Derivative of the Natural Exponential Function== Let <math>u</math> be a differentiable function of <math>x</math>. Then, 1.<math>\frac{d}{dx}[e^x]=e^x</math> 2.<math>...") |
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Revision as of 07:20, 11 August 2020
Derivative of the Natural Exponential Function
Let be a differentiable function of . Then, 1. 2.
![{\displaystyle {\frac {d}{dx}}[e^{x}]=e^{x}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/783a58bf19ce36ca7781d7d31d78161a55406bff)
![{\displaystyle {\frac {d}{dx}}[e^{u}]=e^{u}{\frac {du}{dx}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9bd6499b9eb32d9110eb2dc6582eb380c15b2482)
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