Systerms : system terms : Tangent line

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It's a line in math that touches a curve at only one point and goes in the same direction as the curve at that point. In plane geometry, it specifically refers to a line that touches a circle at just one point, and the rule for this is that it's perpendicular to the radius at the point of contact. In calculus, the derivative of a function at a point is basically the slope of the tangent line at that point.

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