Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

Given that \(5{{y}^{2}}=2{{x}^{3}}-5y\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).

Solution:

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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{6x^2}{10y+5}\), for \(y\ne-\dfrac12\).

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