Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Given that \(5{{x}^{3}}=-3xy+2\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).
Solution:
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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{2+10x^3}{3x^2}=-\dfrac{y+5x^2}{x}\), for \(x\ne0\).
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