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If , then prove that (Understanding) Find the values of for which the function is increasing on …

Mathematics20262 marksDerivation
(i)
If $x = e^{\frac{x}{y}}$, then prove that $\frac{dy}{dx} = \frac{x-y}{x \log x}$ (Understanding)
(ii)
Find the values of $'a'$ for which the function $f(x) = b - ax + \sin x$ is increasing on $\mathbb{R}$. (Understanding)

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Continuity, Differentiability and Differentiation

From ISC 2026 Specimen Mathematics Paper 1, question 2.