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If x^y+y^x=2, find (dy)/(dx) ....

If `x^y+y^x=2,` find `(dy)/(dx)` .

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To find \(\frac{dy}{dx}\) for the equation \(x^y + y^x = 2\), we will use implicit differentiation. Here’s the step-by-step solution: ### Step 1: Differentiate both sides with respect to \(x\) Starting with the equation: \[ x^y + y^x = 2 \] ...
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