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x^(y) + y^(x) = 1 , dy/dx...

`x^(y) + y^(x) = 1 , dy/dx`

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