مشتق
Also known as derivative (function), differentiation, instantaneous rate of change
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. The process of finding a d
AI overview
A derivative measures how sensitive a function is to changes in its input—essentially telling you how quickly the output changes at any given point. It matters because it's a fundamental mathematical tool that helps us understand rates of change in everything from physics to economics, and it provides the best straight-line approximation of how a function behaves near a specific point.
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