1
JEE Main 2021 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Let $$A = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{
1 & , & {if\,i = j} \cr
{ - x} & , & {if\,\left| {i - j} \right| = 1} \cr
{2x + 1} & , & {otherwise.} \cr
} } \right.$$
Let a function f : R $$\to$$ R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:
Let a function f : R $$\to$$ R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:
2
JEE Main 2021 (Online) 25th February Morning Slot
MCQ (Single Correct Answer)
+4
-1
If Rolle's theorem holds for the function $$f(x) = {x^3} - a{x^2} + bx - 4$$, $$x \in [1,2]$$ with $$f'\left( {{4 \over 3}} \right) = 0$$, then ordered pair (a, b) is equal to :
3
JEE Main 2021 (Online) 24th February Evening Slot
MCQ (Single Correct Answer)
+4
-1
English
Hindi
Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x) $$ \ne $$ 0 for all x $$ \in $$ R. If $$\left| {\matrix{
{f(x)} & {f'(x)} \cr
{f'(x)} & {f''(x)} \cr
} } \right|$$ = 0, for all x$$ \in $$R, then the value of f(1) lies in the interval :
4
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The derivative of
$${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with
respect to $${\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)$$ at x = $${1 \over 2}$$ is :
$${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with
respect to $${\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)$$ at x = $${1 \over 2}$$ is :
Questions Asked from Differentiation (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2023 (Online) 1st February Evening Shift (1) JEE Main 2023 (Online) 1st February Morning Shift (1) JEE Main 2023 (Online) 31st January Morning Shift (1) JEE Main 2023 (Online) 30th January Evening Shift (2) JEE Main 2023 (Online) 30th January Morning Shift (1) JEE Main 2023 (Online) 29th January Evening Shift (1) JEE Main 2022 (Online) 28th July Evening Shift (1) JEE Main 2022 (Online) 26th July Evening Shift (1) JEE Main 2022 (Online) 29th June Evening Shift (1) JEE Main 2022 (Online) 27th June Morning Shift (1) JEE Main 2022 (Online) 24th June Evening Shift (1) JEE Main 2021 (Online) 1st September Evening Shift (1) JEE Main 2021 (Online) 27th August Evening Shift (1) JEE Main 2021 (Online) 26th August Evening Shift (1) JEE Main 2021 (Online) 20th July Morning Shift (1) JEE Main 2021 (Online) 25th February Morning Shift (1) JEE Main 2021 (Online) 24th February Evening Shift (1) JEE Main 2020 (Online) 5th September Evening Slot (1) JEE Main 2020 (Online) 5th September Morning Slot (1) JEE Main 2020 (Online) 4th September Morning Slot (1) JEE Main 2020 (Online) 3rd September Morning Slot (1) JEE Main 2020 (Online) 9th January Evening Slot (2) JEE Main 2020 (Online) 8th January Morning Slot (1) JEE Main 2020 (Online) 7th January Evening Slot (1) JEE Main 2020 (Online) 7th January Morning Slot (1) JEE Main 2019 (Online) 12th April Evening Slot (1) JEE Main 2019 (Online) 12th April Morning Slot (1) JEE Main 2019 (Online) 8th April Evening Slot (1) JEE Main 2019 (Online) 8th April Morning Slot (1) JEE Main 2019 (Online) 12th January Morning Slot (1) JEE Main 2019 (Online) 9th January Evening Slot (1) JEE Main 2017 (Online) 9th April Morning Slot (1) JEE Main 2014 (Offline) (2) JEE Main 2013 (Offline) (1) AIEEE 2011 (1) AIEEE 2010 (1) AIEEE 2009 (1) AIEEE 2006 (2) AIEEE 2005 (3) AIEEE 2004 (1) AIEEE 2003 (3) AIEEE 2002 (1)