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f(x)=x^5x Use logarithmic differentiation to determine the derivative.

  • Math -

    let y = x^(5x)
    ln y = ln(x^(5x))
    lny = 5x lnx

    y'/y = 5x(1/x) + 5lnx
    y ' = y (5 + 5lnx)
    = 5x^(5x) (1 + lnx)

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