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Continuity and Differentiability
JEE Advanced · Mathematics · 31 past questions
Topic
Differentiability of piecewise and modulus functions
7
Convexity, second derivative and mean value arguments
5
Differentiation techniques and derivatives of special functions
5
Differentiability at a point from limits and oscillating functions
4
Product and composite functions: differentiability and continuity rules
4
Continuity and its consequences
3
Limits and local behaviour at a point
3
Level
Easy
1
Moderate
3
Tough
0
Year
2026
1
2025
0
2024
0
2023
0
2020
2
2019
0
2018
0
2017
0
2016
0
2015
1
2014
0
2012
0
2011
0
2009
0
2008
0
4 of 31 ·
show all
Q1
2026 Paper 1
Let $\mathbb{R}$ denote the set of all real numbers. Let $f:\mathbb{R}\to\mathbb{R}$ be an arbitrary function…
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Q9
2020 Paper 1
Let the function $f:\mathbb{R}\to\mathbb{R}$ be defined by $f(x)=x^3-x^2+(x-1)\sin x$ and let…
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Q11
2020 Paper 2
Let the functions $f:(-1,1) \to \mathbb{R}$ and $g:(-1,1) \to (-1,1)$ be defined by…
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Q21
2015 Paper 1
Let $g:\mathbb{R}\to\mathbb{R}$ be a differentiable function with $g(0)=0$, $g'(0)=0$ and $g'(1)\neq 0$. Let…
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