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← CBSE Class 12 PYQ
Application of Derivatives
CBSE Class 12 · Mathematics · 18 past questions
Topic
Increasing and decreasing functions
2
Application-based case studies
1
Maxima and minima
1
Monotonicity with a parameter
1
Rate of change and related rates
1
Optimisation word problems
0
Level
Easy
6
Moderate
12
Year
2026
1
2025
2
2024
1
2023
2
6 of 18 ·
show all
Q1
2026
The least value of $f(x) = x^3 - 12x$, $x \in [0, 3]$ is
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Q5
2025
The function $f(x) = x^2 - 4x + 6$ is increasing in the interval
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Q6
2025
A cylindrical tank of radius 10 cm is being filled with sugar at the rate of $100\pi$ cm$^3$/s. The rate, at…
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Q11
2024
The function $f(x) = x^3 - 3x^2 + 12x - 18$ is…
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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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Q15
2023
A volleyball player serves the ball which takes a parabolic path given by the equation…
(with a figure)
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