Derivatives of exponential and logarithmic functions

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$$\frac{d}{dx} (e^x) = e^x$$
$$\frac{d}{dx} (\ln |x|) = \frac{1}{x} \quad (x \neq 0)$$
$$\frac{d}{dx} (a^x) = a^x \ln a \quad (a\gt 0)$$
Derivatives of exponential and natural log functions, including general base $$a$$.
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