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Solve the following.

If , then prove that (Understanding)

Mathematics20262 marksDerivation
If $x = e^{\frac{x}{y}}$, then prove that $\frac{dy}{dx} = \frac{x-y}{x \log x}$ (Understanding)

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Continuity, Differentiability and Differentiation

From ISC 2026 Specimen Mathematics Paper 1, question 2(i).