Continuity and Differentiability

JEE Advanced · Mathematics · 31 past questions

5 of 31 · show all

1. Q3 2026 Paper 2

   Let $\mathbb{R}$ denote the set of all real numbers. Consider the polynomial function…

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2. Q8 2023 Paper 2

   Let $S$ be the set of all twice differentiable functions $f$ from $\mathbb{R}$ to $\mathbb{R}$ such that…

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3. Q10 2020 Paper 1

   For a polynomial $g(x)$ with real coefficients, let $m_g$ denote the number of distinct real roots of $g(x)$.…

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4. Q13 2018 Paper 1

   For every twice differentiable function $f: \mathbb{R} \to [-2, 2]$ with $(f(0))^2 + (f'(0))^2 = 85$, which…

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5. Q17 2017 Paper 2

   If $f:\mathbb{R}\to\mathbb{R}$ is a twice differentiable function such that $f''(x)>0$ for all…

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