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    NationalMediumCalculus10–12

    For which value of x does the graph of f(x) = x^{3} - 6x^{2} + 5 have an inflection point?

    Para que valor de x o gráfico de f(x) = x^{3} - 6x^{2} + 5 tem um ponto de inflexão?

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    Solution

    Step 1 of 3

    1. 1.The second derivative is f''(x) = 6x - 12, which vanishes at x = 2 and changes sign there.