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    Use derivative to graph function and find maximal value

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    Question 1: sketch the graph of the following function f(x)=x^3-6x^2+12x+3

    Question 2: Staring with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 400 feet of fencing, as shown in the figure to the right. Find the value of x and w that result in the greatest possible area

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    The solutions provide the detailed explanation how to use derivative to graph function and find maximal value.