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Continuity and Differentiability
JEE Advanced · Mathematics · 31 past questions
Topic
Convexity, second derivative and mean value arguments
3
Differentiability of piecewise and modulus functions
2
Differentiability at a point from limits and oscillating functions
1
Continuity and its consequences
0
Differentiation techniques and derivatives of special functions
0
Limits and local behaviour at a point
0
Product and composite functions: differentiability and continuity rules
0
Level
Easy
1
Moderate
1
Tough
3
Year
2026
1
2025
0
2024
0
2023
0
2020
1
2019
0
2018
1
2017
0
2016
0
2015
0
2014
0
2012
0
2011
0
2009
0
2008
0
3 of 31 ·
show all
Q3
2026 Paper 2
Let $\mathbb{R}$ denote the set of all real numbers. Consider the polynomial function…
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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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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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