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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
2
Year
2026
0
2025
2
2024
0
2023
1
3 of 18 ·
show all
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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Q9
2025
For the curve $y=5x-2x^3$, if $x$ increases at the rate of 2 units/s, then how fast is the slope of the curve…
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Q17
2023
A particle moves along the curve $3y = ax^3 + 1$ such that at a point with $x$–coordinate 1, $y$–coordinate…
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