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In mathematics the '''derivative''' is the rate of change of a function with respect to one of its variables. For example, if <math>r(t)</math> denotes the position of a particle on a line as a function of time, the derivative of <math>r</math> with respect to the time variable <math>t</math> is the rate of change of the particle's position with respect to time, i.e., the speed of the particle. Similarly, the derivative of the particle's speed with respect to time corresponds to the particle's velocity. Other examples of derivatives in physics abound: for example, the derivative can be used to calculate the rate of cooling from a temperature-time graph.

In mathematics the '''derivative''' is the rate of change of a function with respect to one of its variables. For example, if <math>r(t)</math> denotes the position of a particle on a line as a function of time, the derivative of <math>r</math> with respect to the time variable <math>t</math> is the rate of change of the particle's position with respect to time, i.e., the speed of the particle. Similarly, the derivative of the particle's speed with respect to time corresponds to the particle's acceleration. Other examples of derivatives in physics abound: for example, the derivative can be used to calculate the rate of cooling from a temperature-time graph.

The process of finding a derivative is called '''differentiation'''.

The process of finding a derivative is called '''differentiation'''.