Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

Given that \(4{{x}^{2}}=2{{y}^{3}}+4y\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).

Solution:

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Answer:\(\frac{\mathrm dy}{\mathrm dx}=\frac{4x}{3y^2+2}\).

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