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Math Help - [SOLVED] Find derivative?

  1. #1
    Super Member fardeen_gen's Avatar
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    [SOLVED] Find derivative?

    Find \frac{dy}{dx}, where y = (\sqrt{x})^{x^{x^{x^{x\mbox{...}\infty}}}}
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  2. #2
    Lord of certain Rings
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    Quote Originally Posted by fardeen_gen View Post
    Find \frac{dy}{dx}, where y = (\sqrt{x})^{x^{x^{x^{x\mbox{...}\infty}}}}
    y^2 = (x)^{x^{x^{x^{x\mbox{...}\infty}}}}
    \log y^2 = (x)^{x^{x^{x^{x\mbox{...}\infty}}}} \log x

    \log y^2 = y^2\log x

    Can you continue?
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