Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Given that \(3{{x}^{2}}+3{{y}^{2}}=2\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).
Solution:
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Answer:\(\frac{\mathrm dy}{\mathrm dx}=-\frac{x}{y}\), on either branch where \(y\ne0\).
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