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← JEE Advanced PYQ
Continuity and Differentiability
JEE Advanced · Mathematics · 31 past questions
Topic
Product and composite functions: differentiability and continuity rules
2
Convexity, second derivative and mean value arguments
1
Continuity and its consequences
0
Differentiability at a point from limits and oscillating functions
0
Differentiability of piecewise and modulus functions
0
Differentiation techniques and derivatives of special functions
0
Limits and local behaviour at a point
0
Level
Easy
0
Moderate
2
Tough
1
Year
2026
4
2025
1
2024
1
2023
2
2020
3
2019
1
2018
2
2017
3
2016
3
2015
1
2014
1
2012
2
2011
2
2009
1
2008
4
3 of 31 ·
show all
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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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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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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