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📘 JEE Mains One-Shot: Application of Derivatives (AOD) | 5–10 MUST-SOLVE Questions In this video, I solve the most important JEE Mains level questions from the chapter Application of Derivatives (AOD) — all taken from actual exam patterns. If you master these 5–10 problems, you can easily score FULL MARKS in this chapter! Time Stamps - 00:00 Introduction 00:20 Q1) Basic AOD Concepts 06:54 Q2) JEE ADVANCED Qs - Maxima–Minima of a Non-Differentiable Function 09:52 Q3) Number of Solutions of 2^x + 3^x + 4^x = 5^x. 12:35 Q4) IIT JEE Qs Using Double Derivative 14:48 Q5) Common JEE Mains Qs - Double Derivative Application 16:52 Q6) JEE ADVANCED 2020 Qs - One-One & Onto Functions 21:16 Q7) Optimization Problem 24:47 Q8) Rate Measure 27:54 How to Practice and Ask Doubts Q1 — Basic AOD Concepts A collection of starter problems covering all fundamental concepts of the Application of Derivatives—slopes, tangents, monotonicity, maxima–minima basics. Q2 — Maxima–Minima of a Non-Differentiable Function Find the maxima/minima of a function that is not differentiable at certain points. Tests left-hand and right-hand derivatives + corner points. Q3 — Number of Solutions of an Exponential Equation Find the number of real solutions of the equation: 2^x + 3^x + 4^x = 5^x. Q4 — Distinct Real Roots Using Double Derivative Use the second derivative test to find the number of distinct real roots of: x^4 - 4x^3 + 12x^2 + x - 1 = 0. Q5 — Double Derivative Application (Advanced) Another problem where the behavior of the second derivative is used to identify nature of roots or extrema. (You can describe the specific Q shown in your video.) Q6 — One-One & Onto Functions Determine whether certain functions are injective or surjective, using monotonicity derived from derivatives. Q7 — Optimization Problems Classic AOD optimization question — maximize/minimize a quantity based on constraints. Q8 — Rate Measure / Rate of Change Problems involving the rate at which one quantity changes with respect to another — typical physics-style calculus application. #JEE #JEE2025 #JEE2026 #AOD #ApplicationOfDerivatives #IITJEE #JEEMains #Maths #MathBiceps #Calculus #JEEMaths #StudyWithMe #AODQuestions #JEEOneShot #JEELecture #MathsShorts #EngineeringEntrance #JEEPreparation #IITaspirant #MathLecture #NCERTMaths For Doubts - https://t.me/mathbiceps_doubts