506Exponential

Derivative of Exponentials

math \dfrac {d}{dx} \Big( e^{nx} \Big) = ne^{nx} math

Example

math \dfrac {d}{dx} \Big( e^{5x} \Big) = 5e^{5x} math

**Chain Rule Version**

math \dfrac {d}{dx} \Big( e^{g(x)} \Big) = g'(x)e^{g(x)} math

Example

math \dfrac {d}{dx} \Big( e^{\sin x} \Big) = \cos x e^{\sin x} math

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