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linear approximation |
Also found in: Wikipedia | 0.01 sec. |
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linear approximationIn mathematics, the process of finding a straight line that closely fits a curve (function) at some location. Expressed as the linear equation y = ax + b, the values of a and b are chosen so that the line meets the curve at the chosen location, or value of x, and the slope of the line equals the rate of change of the curve (derivative of the function) at that location. For most curves, linear approximations are good only very close to the chosen x. Yet much of the theory of calculus, including the fundamental theorem of calculus and the mean-value theorem for derivatives, is based on such approximations. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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