Math 22 Derivatives of Exponential Functions

Derivative of the Natural Exponential Function

 Let $u$ be a differentiable function of $x$. Then,
 1.${\frac {d}{dx}}[e^{x}]=e^{x}$
 2.${\frac {d}{dx}}[e^{u}]=e^{u}{\frac {du}{dx}}$

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