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Find (dy)/(dx)of the functions given by...

Find `(dy)/(dx)`of the functions given by `x^y+y^x=1`

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To find \(\frac{dy}{dx}\) for the function given by \(x^y + y^x = 1\), 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: \[ x^y + y^x = 1 \] Taking the derivative with respect to \(x\) on both sides, we have: ...
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