Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Given that \(2{{x}^{3}}=2{{y}^{2}}+5\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).
Solution:
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Answer:\(\frac{\mathrm dy}{\mathrm dx}=\frac{3x^2}{2y}\) on either real branch where \(y\ne0\).
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