KCET SERIES Mathematics
Derivatives
9 previous year questions.
Volume: 9 Ques
Yield: Medium
High-Yield Trend
3
2025 2
2023 2
2021 1
2020 1
2012 Chapter Questions 9 MCQs
01
PYQ 2012
easy
mathematics ID: kcet-201
The perimeter of a sector is a constant. If its area is to be maximum, then the sectorial angle is
1
2
3
4
02
PYQ 2020
hard
mathematics ID: kcet-202
If (xe)y = ex, then is
1
2
3
4
03
PYQ 2021
medium
mathematics ID: kcet-202
Consider the following statements :
Statement 1 : If y = log10x + logex then
Statement 2 :
Statement 1 : If y = log10x + logex then
Statement 2 :
1
Statement 1 is true; statement 2 is false
2
Statement 1 is false; statement 2 is true
3
Both statements 1 and 2 are true
4
Both statements 1 and 2 are false
04
PYQ 2021
hard
mathematics ID: kcet-202
If y = (cosx2)2, then is equal to
1
-4x sin2x2
2
-x sinx2
3
-2x sin2x2
4
-x cos2x2
05
PYQ 2023
medium
mathematics ID: kcet-202
A circular plate of radius 5 cm is heated. Due to expansion, its radius increases at the rate of 0.05 cm/sec. The rate at which its area is increasing when the radius is 5.2 cm is
1
5.05 π cm2/sec
2
5.2 π cm2/sec
3
0.52 π cm2/sec
4
27.4 π cm2/sec
06
PYQ 2023
easy
mathematics ID: kcet-202
If and then is
1
2
3
1
4
2
07
PYQ 2025
medium
mathematics ID: kcet-202
If , , then at is:
1
2
3
4
08
PYQ 2025
hard
mathematics ID: kcet-202
The derivative of with respect to is:
1
2
3
4
09
PYQ 2025
medium
mathematics ID: kcet-202
The function
1
always decreases
2
never increases
3
neither increases nor decreases
4
always increases
About Derivatives - KCET
Derivatives is a vital chapter for KCET 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 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.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Derivatives carry the most weight. Then, tackle the questions iteratively to solidify your understanding.