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# In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity, and the derivative of velocity with respect to time is acceleration. The concept of a derivative has been generalized to other contexts than just functions of a single real variable. For instance, the derivative of a function of several real variables is a function of several real variables, and the derivative of a function from Rn to Rm is a function from Rn to Rm.

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