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    Logarithmic Derivative

    Derivative

    d/dx(log(x)) = 1/x

    Plot

    Plot

    Plot

    Roots

    (no roots exist)

    Properties as a real function

    {x element R : x!=0}

    {y element R : y!=0}

    injective (one-to-one)

    odd

    Indefinite integral

    integral1/x dx = log(x) + constant (assuming a complex-valued logarithm)

    Limit

    lim_(x-> ± ∞) 1/x = 0

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