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← CBSE Class 12 PYQ
Application of Derivatives
CBSE Class 12 · Mathematics · 18 past questions
Topic
Increasing and decreasing functions
5
Monotonicity with a parameter
4
Optimisation word problems
3
Rate of change and related rates
3
Maxima and minima
2
Application-based case studies
1
Level
Easy
1
Moderate
3
Year
2026
0
2025
2
2024
0
2023
2
4 of 18 ·
show all
Q7
2025
Find the values of 'a' for which $f(x)=\sin x-ax+b$ is increasing on $\mathbb{R}$.
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Q8
2025
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of x…
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Q13
2023
If $f(x) = a(\tan x - \cot x)$, where $a > 0$, then find whether $f(x)$ is increasing or decreasing function…
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Q16
2023
If $f(x) = a(x - \cos x)$ is strictly decreasing in $\mathbb{R}$, then 'a' belongs to
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