The derivative of log_a(x) represents the rate of change of the logarithmic function with base 'a' concerning 'x'. This derivative is essential for understanding how logarithmic functions behave and is commonly expressed using the formula $$\frac{d}{dx} \log_a(x) = \frac{1}{x \ln(a)}$$. It connects to the concept of logarithmic differentiation, which is a powerful technique for finding derivatives of complicated functions by applying properties of logarithms.
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