Application of Derivatives
76 NDA Mathematics previous year questions (PYQs) from 19 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 28 easy · 36 moderate · 12 hard.
- Most-asked subtopics: Monotonicity, Extrema, and Critical Points (40), Optimisation — Geometric, Trigonometric, AM-GM (31), Tangents and Slopes (5).
- Updated 14 September 2026.
#1Tangents and Slopes
#2Tangents and Slopes
#3Tangents and Slopes
#4Tangents and Slopes
- NDA · Sep 2021 · Q100Moderate
#5Tangents and Slopes
Done a few? Here’s your next move
- NDA · Sep 2026 · Q96Moderate
#6Monotonicity, Extrema, and Critical Points
- NDA · Sep 2026 · Q97Moderate
#7Monotonicity, Extrema, and Critical Points
- NDA · Apr 2017 · Q82Moderate
#8Monotonicity, Extrema, and Critical Points
#9Monotonicity, Extrema, and Critical Points
- NDA · Sep 2017 · Q69Moderate
#10Monotonicity, Extrema, and Critical Points
#11Monotonicity, Extrema, and Critical Points
- NDA · Sep 2018 · Q78Moderate
#12Monotonicity, Extrema, and Critical Points
#13Monotonicity, Extrema, and Critical Points
- NDA · Sep 2018 · Q94Moderate
#14Monotonicity, Extrema, and Critical Points
- Set · 2 questionsDirections for the following two (02) items : Read the following information and answer the two items that follow : Consider the function .
- NDA · Sep 2019 · Q89Moderate
#15Monotonicity, Extrema, and Critical Points
- NDA · Sep 2019 · Q90Moderate
#16Monotonicity, Extrema, and Critical Points
- NDA · Sep 2019 · Q100Moderate
#17Monotonicity, Extrema, and Critical Points
- NDA · Apr 2021 · Q94Moderate
#18Monotonicity, Extrema, and Critical Points
- NDA · Sep 2021 · Q82Moderate
#19Monotonicity, Extrema, and Critical Points
- NDA · Sep 2021 · Q91Moderate
#20Monotonicity, Extrema, and Critical Points
- NDA · Sep 2021 · Q95Moderate
#21Monotonicity, Extrema, and Critical Points
- NDA · Sep 2021 · Q98Moderate
#22Monotonicity, Extrema, and Critical Points
- NDA · Apr 2022 · Q65Moderate
#23Monotonicity, Extrema, and Critical Points
#24Monotonicity, Extrema, and Critical Points
- NDA · Apr 2022 · Q77Moderate
#25Monotonicity, Extrema, and Critical Points
- NDA · Sep 2022 · Q93Moderate
#26Monotonicity, Extrema, and Critical Points
- NDA · Apr 2023 · Q91Moderate
#27Monotonicity, Extrema, and Critical Points
#28Monotonicity, Extrema, and Critical Points
#29Monotonicity, Extrema, and Critical Points
- Set · 2 questionsFor the next two (02) items that follow: Let S and T be the sets where decreases and increases respectively.
#30Monotonicity, Extrema, and Critical Points
#31Monotonicity, Extrema, and Critical Points
- Set · 1 questionFor the following two (02) items: Consider the function .
- NDA · Sep 2025 · Q82Moderate
#32Monotonicity, Extrema, and Critical Points
- NDA · Sep 2025 · Q99Moderate
#33Monotonicity, Extrema, and Critical Points
- NDA · Sep 2025 · Q100Moderate
#34Monotonicity, Extrema, and Critical Points
- Set · 2 questionsA function is defined by .
#35Monotonicity, Extrema, and Critical Points
#36Monotonicity, Extrema, and Critical Points
- NDA · Apr 2024 · Q79Moderate
#37Monotonicity, Extrema, and Critical Points
#38Monotonicity, Extrema, and Critical Points
#39Monotonicity, Extrema, and Critical Points
#40Monotonicity, Extrema, and Critical Points
- NDA · Apr 2024 · Q92Moderate
#41Monotonicity, Extrema, and Critical Points
#42Monotonicity, Extrema, and Critical Points
- Set · 2 questionsLet on .
#43Monotonicity, Extrema, and Critical Points
#44Monotonicity, Extrema, and Critical Points
- Set · 1 questionLet the function .
#45Monotonicity, Extrema, and Critical Points
- NDA · Sep 2026 · Q95Moderate
#46Optimisation — Geometric, Trigonometric, AM-GM
#47Optimisation — Geometric, Trigonometric, AM-GM
- NDA · Apr 2017 · Q97Moderate
#48Optimisation — Geometric, Trigonometric, AM-GM
#49Optimisation — Geometric, Trigonometric, AM-GM
#50Optimisation — Geometric, Trigonometric, AM-GM
Showing the first 50 of 76.
See all 76 questionsMore chapters in this subject
- 3D Geometry94
- Applications of Integration27
- Binomial Distribution31
- Binomial Theorem56
- Circles28
- Complex Numbers76
- Conics40
- Definite Integration69
- Differential Equations67
- Differentiation89
- Functions115
- Height & Distance26
- Indefinite Integration42
- Inverse Trigonometry36
- Limits & Continuity87
- Lines104
- Logarithms27
- Matrices & Determinants181
- Permutation & Combination80
- Probability176
- Properties of Triangle52
- Quadratic Equations67
- Sequence & Series93
- Sets & Relations75
- Statistics165
- Trigonometric Equations34
- Trigonometric Identities145
- Vectors102