find second derivation for function f(x)=x²-(2/x)​

Question

find second derivation for function f(x)=x²-(2/x)​

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Nem 5 years 2021-07-26T05:46:00+00:00 1 Answers 13 views 0

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  1. Cherry
    0
    2021-07-26T05:47:27+00:00
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    Hi there!

    \large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}

    f(x) = x^2 - \frac{2}{x}

    Recall the power rule:

    \frac{dy}{dx} x^n = nx^{n-1}

    Rewrite the function for ease of differentiation:

    f(x) =x^2 - 2x^{-1}

    Use the power rule:

    f'(x) = 2x + 2x^{-2}

    Take the derivative once more:

    f''(x) = 2 - 4x^{-3}

    Rewrite:

    f''(x) = 2 - \frac{4}{x^{3}}

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )