JEE Mains Math in 10 Questions - Application of Derivatives

📘 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.

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For Doubts - https://t.me/mathbiceps_doubts