MAC 2311 Midterm: MAC 2311 FIU c1 Test 2 bFall 07

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15 Feb 2019
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// say where your work is for it won"t fit here. Calculus i help site in the complete solutions manual for the text. A solution is online at the math dept. Here is a more leisurely discussion of this problem. First recall that the existence of the derivative of f at x0 is equivalent to the existence of the following limit: f (x. Consequently, if we assume that f (x0) > 0, we should expect that for each x that is near enough to x0 that the quotient. If x1 is sufficiently near x0 so that q(x1) > 0, and x1 < x0, then since x1 - x0 is negative, we must also have f(x1) < f(x0). f(x1) - f(x0) negative or. Similarly, if x2 is sufficiently near x0 so that q(x2) > 0, and x0 < x2, f(x2) - f(x0) positive or then since x2 - x0 is positive, we must also have f(x0) < f(x2).

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