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← JEE Advanced PYQ
Application of Derivatives
JEE Advanced · Mathematics · 48 past questions
Topic
Inequalities and function properties
2
Maxima and minima
1
Optimisation and geometric applications
1
Rolle's theorem and mean value theorem
1
Monotonicity and sign of derivative
0
Roots and number of solutions
0
Level
Easy
0
Moderate
5
Tough
0
Year
2026
1
2025
1
2021
4
2020
2
2019
3
2018
1
2017
3
2016
2
2015
2
2014
5
2013
5
2012
3
2010
4
2009
2
2008
4
2007
6
5 of 48 ·
show all
Q25
2013 Paper 1
Let $f(x) = x \sin \pi x$, $x > 0$. Then for all natural numbers $n$, $f'(x)$ vanishes at
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Q26
2013 Paper 1
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $8:15$ is converted into…
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Q27
2013 Paper 2
The function $f(x) = 2|x| + |x+2| - ||x+2| - 2|x||$ has a local minimum or a local maximum at $x =$
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Q28
2013 Paper 2
Paragraph for Questions 53 and 54…
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Q29
2013 Paper 2
Paragraph for Questions 53 and 54…
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