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ACT
ACT Math Section

Sum of Critical Values for a Cubic Function

Very Hard Preparing For Higher Math Algebra

Let $$f(x) = x^3 - 6x^2 + 9x - 4$$. Your task is to determine the value of $$x$$ such that $$f(x) = 0$$ and $$f'(x) $$ has a local maximum or minimum. Find the sum of all values of $$x$$ that fulfill these criteria.

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