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In geometry, the tangent line (or simply tangent) 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(x) at a point x = c if the line passes through the point (c, f(c)) on the curve and has slope f'(c), where f' is the derivative of f. A similar definition applies to SPACE curves and curves in n-dimensional

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