MATH 102 Study Guide - Midterm Guide: Farad, Even And Odd Functions, Maxima And Minima
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MATH 102 Full Course Notes
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Shown in figure 1. 1 is a function and its tangent line at x = a. The tangent line intersects the x axis at the point x = b. Based on this gure, the coordinate of the point b is y y=f(x) a b x. [a] b = a f (a) f (a) [b] b = a + f (a) f (a) [c] b = a f (b) f (b) [d] b = a + f (b) f (b) [e] b = f (a) + f (a)(x a) Alternately, we can ask them as a short question, to provide the equation of the tangent line in terms of a, f (a), f (a) and the coordinate of the point b. But it will be easier to mark as a multiple choice. Now suppose that the graph shown in gure1. 3 is the derivative f (x) of some func- tion.