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If x^(2//3)+y^(2//3)=a^(2//3) , find (dy...

If `x^(2//3)+y^(2//3)=a^(2//3)` , find `(dy)/(dx)`

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To find \(\frac{dy}{dx}\) for the equation \(x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}\), we will differentiate both sides with respect to \(x\). ### Step-by-Step Solution: 1. **Differentiate both sides with respect to \(x\)**: \[ \frac{d}{dx}(x^{\frac{2}{3}}) + \frac{d}{dx}(y^{\frac{2}{3}}) = \frac{d}{dx}(a^{\frac{2}{3}}) \] ...
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