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If y=x^x^x^^((((oo)))) , find (dy)/(dx)d...

If `y=x^x^x^^((((oo))))` , find `(dy)/(dx)dot`

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To find the derivative \(\frac{dy}{dx}\) for the function \(y = x^{x^{x^{\cdots}}}\) (where the exponentiation continues infinitely), we can start by rewriting the expression in a more manageable form. ### Step 1: Rewrite the equation Since \(y = x^{x^{x^{\cdots}}}\), we can express this as: \[ y = x^y \] ...
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