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Unformatted text preview: ( x ) = ,lim x →∞ f ( x ) = (i) The equation(s) of the vertical asymptote(s) (j) The equation(s) of horizontal asymptote(s) 2 (k) The graph of f is Question 2. Consider the function f ( x ) = x 2 + cos( x ). Follow these steps to graph the function over the interval [0 ,π ]. (a) The derivative of f is f = (b) The critical point(s) of f are 3 (c) The second derivative of f is f 00 = (d) The point(s) of inﬂection are (e) Find f (0) = , f ( π 6 ) = Find f ( π 2 ) = , f ( 5 π 6 ) = Find f ( π ) = (f) The graph of f is Question 3. Find all local maxima and minima (if any) and all inﬂection points of the function f ( x ) = xe 2011 x . 4...
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 Fall '08
 DUMITRISCU
 Calculus, Critical Point, Catalin Rada, Olga Vassilieva

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