How To Understand And Calculate Derivatives: A Guide To Analyzing Instantaneous Rate Of Change In Math

Definition of the Derivativef'(x) = ___________________

lim h->0 f(x+h)-f(x) / h

The derivative of a function f(x) is defined as the rate at which the function is changing at a specific point x with respect to an independent variable such as time or distance. It is denoted as f'(x) or df(x)/dx. The derivative f'(x) represents the slope of the tangent line to the curve of the function f(x) at the point x. In other words, it is the instantaneous rate of change of the function at that point.

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