The quotient rule is a formula used to find the derivative of a function that is the ratio of two differentiable functions. It states that if you have a function that can be expressed as $$f(x) = \frac{g(x)}{h(x)}$$, then its derivative can be found using the formula $$f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2}$$. This rule is essential when dealing with division of functions, providing a systematic way to differentiate them without simplifying the function first.
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