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← JEE Advanced PYQ
Continuity and Differentiability
JEE Advanced · Mathematics · 31 past questions
Topic
Differentiability of piecewise and modulus functions
5
Differentiation techniques and derivatives of special functions
5
Differentiability at a point from limits and oscillating functions
3
Limits and local behaviour at a point
3
Product and composite functions: differentiability and continuity rules
3
Continuity and its consequences
2
Convexity, second derivative and mean value arguments
1
Level
Easy
0
Moderate
3
Tough
0
Year
2026
0
2025
0
2024
0
2023
0
2020
0
2019
0
2018
0
2017
0
2016
1
2015
0
2014
0
2012
0
2011
0
2009
1
2008
1
3 of 31 ·
show all
Q20
2016 Paper 2
Let $f:\mathbb{R}\to(0,\infty)$ and $g:\mathbb{R}\to\mathbb{R}$ be twice differentiable functions such that…
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Q27
2009 Paper 2
For the function $f(x) = x\cos\frac{1}{x},\ x \ge 1$…
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Q28
2008 Paper 1
Let $g(x) = \dfrac{(x-1)^n}{\log\cos^m(x-1)}$; $0 < x < 2$, $m$ and $n$ are integers, $m \neq 0$, $n > 0$…
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