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derivative of at can be denoted , read as " prime of "; or it can be denoted , read as "the derivative of with respect to at " or " by (or over) at ". See ' below. If is a function that has a derivative at every point in its domain, then a function can be defined by mapping every point to the value of the derivative of at . This function is written and is called the derivative function or the derivative of . The function sometimes has a derivative at most, but not all, points of its domain.

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