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Math

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The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at each point where f has a
(a) local maximum,
(b) local minimum, or
(c) point of inflection

  • Math -

    there are max/min at x = -2, 0, 5

    f''(x) = 3x^2 - 6x - 10
    at -2, 0, -5, f'' = 14, -10, 95

    so, min at x = -2
    max at x = 0
    min at x = 5

    inflection at 1±√39/3

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