EXAMPLE 7 Find the critical numbers of the function f x x3 5 3 x SOLUTION The Product Rule gives the following F x x13 3 x 3 3 x

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EXAMPLE 7 Find the critical numbers of the function f x x3 5 3 x SOLUTION The Product Rule gives the following F x x13 3 x 3 3 x 3 3x The same result could be obtained by first writing f x 3x3 5 x 5 Therefore f x 0 if and f x does not exist when x Thus the critical numbers are larger and smalle

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