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JEE-ADVANCED SERIES
Mathematics

Application Of Derivatives

10 previous year questions.

Volume: 10 Ques
Yield: Medium

High-Yield Trend

3
2017
1
2013
1
2006
1
2003
2
2001
2
2000

Chapter Questions
10 MCQs

01
PYQ 2000
easy
mathematics ID: jee-adva
For all
1
$e^x\,
2
3
4
02
PYQ 2000
easy
mathematics ID: jee-adva
Let then at x = 0, f has
1
a local maximum
2
no local maximum
3
a local minimum
4
no extremum
03
PYQ 2001
medium
mathematics ID: jee-adva
If , then f (x) is
1
increasing on [-1/2, 1]
2
decreasing on R
3
increasing on R
4
decreasing on [-1/2, 1]
04
PYQ 2001
medium
mathematics ID: jee-adva
Let and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is
1
[0, 1]
2
(0, 1/2]
3
[1/2, 1]
4
(0, 1]
05
PYQ 2003
medium
mathematics ID: jee-adva
In [0, 1] Lagranges Mean Value theorem is NOT applicable to
1
2
3
4
06
PYQ 2006
easy
mathematics ID: jee-adva
f(x) is cubic polynomial with f(2) = 18 and f(1) = -1. Also f(x) has local maxima at x = -1 and f '(x) has local minima at x = 0, then
1
the distance between (-1, 2) and (a f(a)), where x = a is the point of local minima is
2
f(x) is increasing for
3
f(x) has local minima at x = 1
4
the value of f(0) = 15
07
PYQ 2013
medium
mathematics ID: jee-adva
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is , the resulting box has maximum volume. Then the lengths of the sides of the rectangular sheet are
1
24
2
32
3
45
4
60
08
PYQ 2017
easy
mathematics ID: jee-adva
If '' > 0
1
2
3
4
09
PYQ 2017
easy
mathematics ID: jee-adva

Let .

  • Column 1 contains information about zeros of , and .
  • Column 2 contains information about the limiting behavior of , and at infinity.
  • Column 3 contains information about increasing/decreasing nature of and .
1
(I) (iii) (P)
2
(II) (iv) (Q)
3
(III) (i) (R)
4
(II) (iii) (P)
10
PYQ 2017
medium
mathematics ID: jee-adva
If is a differentiable function such that for all , and , then
1
$
2
$
3
$>
4
$

About Application Of Derivatives - JEE-ADVANCED

Application Of Derivatives is a vital chapter for JEE-ADVANCED aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Application Of Derivatives PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

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Review the topic breakdown to see which sub-topics within Application Of Derivatives carry the most weight. Then, tackle the questions iteratively to solidify your understanding.