Question: Suppose g(x) is a differentiable function for all x. Let f(x) = (x-1)(x-2)(x-3)g(x). Show that f(x) has at least two critical points.

Suppose g(x) is a differentiable function for all x. Let f(x) = (x-1)(x-2)(x-3)g(x). Show that f(x) has at least two critical points.

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