The difference quotient is a formula that calculates the average rate of change of a function over a specific interval. It is expressed as $$rac{f(x+h) - f(x)}{h}$$, where $$f$$ is a function, $$x$$ is a point in its domain, and $$h$$ represents a small change in $$x$$. This concept is fundamental in calculus, particularly in understanding the derivative, as it provides a way to approximate the instantaneous rate of change by letting $$h$$ approach zero.
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