Basics of Differentiation Techniques Q2
Basics of Differentiation Techniques Q2
Tutorial
Find \(\frac{\mathrm{d}y}{\mathrm{d}x}\) in terms of \(x\) and \(y\) if
- \(x+\sqrt{xy}=3\)
- \({{x}^{n}}+{{y}^{n}}=kxy\) , where \(n\) and \(k\) are constants.
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Answer:\(\frac{dy}{dx} = -\frac{y + 2\sqrt{xy}}{x}\); \(\frac{dy}{dx} = \frac{ky - nx^{n-1}}{ny^{n-1} - kx}\)
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