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6 Graph of f The derivative of a function fis defined by f x X...

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Calculus

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6 Graph of f The derivative of a function fis defined by f x X g x for 4 x 0 5e 2 3 3 for 0 x 4 The graph of the continuous function f shown in the figure above has x intercepts at x 2 and 2 3 ln The graph of g on 4 x 0 is a semicircle and f 0 5 a For 4 x 4 find all values of x at which the graph of fhas a point of inflection Justify your answer b Find 4 and 4 c For 4 x 4 find the value of x at which fhas an absolute maximum Justify your answer

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