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In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.[1] More precisely, a straight line is said to be a tangent of a curve y = f at a point x = c on the curve if the line passes through the point ) on the curve and has slope f ' where f ' is the derivative of f. A similar definition applies to space curves and curves in n-dimensional Euclidean space.