math calculus

how to calculate dy/dx for the curve y=x^(ln x)^2

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asked by p
  1. take ln of both sides

    lny = ln[x^(lnx)^2]
    = (lnx)^2(lnx)
    = (lnx)^3

    (dy/dx)/y = 3(lnx)^2 (1/x+
    dy/dx = 3y(lnx)^2 /x
    or
    3x^(lnx)^2 (lnx)^2 /x

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    posted by Reiny

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