MTH 151 Study Guide - Final Guide: Rational Number, David Jude Jolicoeur, Algebraic Function
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E(cid:272)tio(cid:374) 4. (cid:1006): olle(cid:859)s theore(cid:373) a(cid:374)d the mea(cid:374) value theore(cid:373) A tangent line at a point is a line that has the same direction as the curve at the point of contact. Goal: know the slope, m, of the tangent line. Slope: two points on the line (x1, y1), (x2, y2) Approximate the slope indirectly if only one point is shown on the tangent line using the secant line because if we know 2 points on the secant line, we can get a close enough slope of the tangent line. From the slope of the secant line, we can get approximate slope of tangent line. Find an equation of the tangent line to the parabola y=x2 at the point (1,1) Need 2 things: slope=, point (x,y) we know is (1,1) For an input x, the slope of a secant line formed by points (x,x2) and (1,1) the slope or mpq= x2-1/x-1.
