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The following function is given f x x 1 3 x 6 x 5 x 5 a What is its derivative f x for x

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The following function is given f x x 1 3 x 6 x 5 x 5 a What is its derivative f x for x 0 2 x 1 3 6 b What is the derivative f x for x 0 2 x 4 7 c Give the x value where the derivative is not defined 0 d List the a coordinate of all the critical points of f x in increasing order for example 1 0 1 2 35 0 3 65 e Which other a values can give the maximum and minimum values of f x List them in increasing o 3 65 f Give the x coordinate of a point where f x takes its maximum value 5 g Give the x coordinate of a point where f x takes its minimum value

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