[Solution] The derivative of a function f(x) is given. In each case, find the critical numbers of f(x) and classify each as corresponding to a relative


Question: The derivative of a function f(x) is given. In each case, find the critical numbers of f(x) and classify each as corresponding to a relative maximum, a relative minimum, or neither.

\(f^{\prime}(x)=x^{3}(2 x-7)^{2}(x+5)\)

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