Techniques of Differentiation - Implicit Differentiation
Techniques of Differentiation - Implicit Differentiation
Given that \(2{{x}^{3}}={{\left( 3xy+1 \right)}^{2}}\), find an expression of \(\frac{{\mathrm{d}y}}{\mathrm{d}x}\).
Solution:
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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy+1}{2x^2}\), for \(x>0\).
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