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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
2
Roots and number of solutions
2
Monotonicity and sign of derivative
1
Rolle's theorem and mean value theorem
1
Optimisation and geometric applications
0
Level
Easy
8
Moderate
33
Tough
7
Year
2026
0
2025
0
2021
0
2020
0
2019
0
2018
0
2017
1
2016
1
2015
0
2014
2
2013
0
2012
0
2010
1
2009
1
2008
0
2007
2
8 of 48 ·
show all
Q15
2017 Paper 2
If $f:\mathbb{R}\to\mathbb{R}$ is a differentiable function such that $f'(x) > 2f(x)$ for all…
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Q16
2016 Paper 1
The least value of $\alpha \in \mathbb{R}$ for which $4\alpha x^2 + \frac{1}{x} \ge 1$, for all $x > 0$, is
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Q22
2014 Paper 1
Let $a \in \mathbb{R}$ and let $f: \mathbb{R} \to \mathbb{R}$ be given by…
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Q23
2014 Paper 1
The slope of the tangent to the curve $(y-x^5)^2=x(1+x^2)^2$ at the point $(1,3)$ is
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Q36
2010 Paper 2
Paragraph for questions 31 to 33.…
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Q37
2009 Paper 2
The maximum value of the function $f(x)=2x^3-15x^2+36x-48$ on the set $A=\{x \mid x^2+20 \le 9x\}$ is
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Q45
2007 Paper 2
Let $f(x) = 2 + \cos x$ for all real $x$.…
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Q46
2007 Paper 2
Paragraph for Question Nos. 61 to 63…
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