MATH 1200 Study Guide - Final Guide: Asymptote, Product Rule, Constant Function
8 Dec 2016
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A tangent line is a line that locally touches a function at only one point. To nd the slope of a tangent line, at a given point a: m = lim h 0 f (a + h) f (a) h. A normal line is the line perpendicular to the tangent; they have a slope of 1/m. If f (p) = 0 for any polynomial f (x), (x p) is a factor of f (x). 2x4 + 17x3 + 31x2 62x 168. If you directly substitute x = 2 into the above function, you get. This means that (x 2) is a factor for both polynomials in the function. Factor (x 2) out of each polynomial, using synthetic division, then try direct substitution again. Functions can sometimes be discontinuous at certain points, this is especially true for piece-wise functions. If l = l+, the limit doesn"t exist.
