I was looking at results of different numbers in the equation [tex]\sqrt[x]{x}[/tex] and found out that the biggest result came when it was [tex]\sqrt[e]{e}[/tex]. I know this can be re-written as [tex]x^{1/x}[/tex] and that the gradient would be 0 at x = e. How would you differentiate y = [tex]x^{1/x}[/tex], I can't seem to do it using any of the laws I know.(adsbygoogle = window.adsbygoogle || []).push({});

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# Differentiation of x^(1/x)

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