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March 24, 2017

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Find the derivative of x^(1/x).
Can someone show me steps for this problem...I go round in circles

  • Calc-Derivative - ,

    y = x^(1/x)
    ln y = 1/x ln x
    1/y y' = -1/x^2 lnx + 1/x * 1/x
    1/y y' = 1/x^2 (1-lnx)
    y' = x^(1/x - 2)(1 - lnx)

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