Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Given that \(1=3x+2{{x}^{2}}{{y}^{2}}\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).
Solution:
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Answer:\(\frac{\mathrm dy}{\mathrm dx}=\frac{3x-2}{4x^3y}=\frac{-3-4xy^2}{4x^2y}\), where \(x<0\) or \(0<x<\frac13\).
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