The quotient rule is a fundamental principle used in calculus to find the derivative of a function that is the quotient of two other functions. It states that if you have two functions, say u(x) and v(x), the derivative of their quotient can be found using the formula: $$\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v \cdot u' - u \cdot v'}{v^2}$$, where u' and v' are the derivatives of u and v, respectively. This rule is particularly useful when dealing with logarithmic functions and exponential equations, as it helps simplify the process of differentiation when those functions are divided by one another.
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