Скачать или смотреть 🎯 L2 P2: Exponential Functions & Graphs - Ultimate Guide for JEE Main/NEET 2026 | IIT Kanpur

📚 Master Exponential Functions & Graphical Transformations | Lecture by Mr. Ramesh Chandra (B.Tech, IIT Kanpur)

In this comprehensive lecture, Mr. Ramesh Chandra (IIT Kanpur alumnus) breaks down exponential functions, their graphs, and key graphical transformations with clear explanations and step-by-step plotting. Perfect for IIT-JEE, NEET, CBSE, ISC, and competitive exam aspirants!

📌 Video Timestamps & Key Topics:
🔹 0:00 – Introduction to Exponential Functions
🔹 0:35 – Definition & Properties
🔹 3:30 – Plotting y = 2^x (Step-by-Step)
🔹 7:27 – Graphs of y = 3^x, y = 2^(-x)
🔹 11:58 – General Exponential Curves Explained
🔹 14:26 – y = e^x vs y = e^(-x) (Critical for Calculus!)
🔹 15:30 – y = e^kx (positive k) & Real-World Applications
🔹 18:00 – Transformation: y = f(x) → y = -f(x)
🔹 20:29 – Transformation: y = f(x) → y = f(-x)
🔹 23:46 – Vertical Scaling: y = f(x) → y = kf(x)
🔹 28:42 – sinx vs 2sinx vs Asinx (Comparative Analysis)
🔹 32:40 – Shifting Graphs: y = f(x) → y = f(x) + k
🔹 35:22 – DC Pandey Problem: y = A(1 - e^(-kx)) (Physics Applications)
🔹 41:16 – Understanding Asymptotes in Exponential Graphs

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🔍 Key Topics Covered:
✔ Exponential Function Basics
✔ Plotting 2^x, 3^x, e^x, e^(-x)
✔ Graphical Transformations (Reflections, Scaling, Shifts)
✔ IIT-JEE/NEET Important Concepts
✔ DC Pandey Physics Problem Solved

🎯 Why Watch This Lecture?
✔ Taught by IIT Kanpur Alumnus – Learn from an expert with 15+ years of JEE/NEET teaching experience.
✔ JEE/NEET Focused – Covers PYQ-relevant concepts and DC Pandey problems.
✔ Visual Learning – Step-by-step graph plotting for better retention.
✔ Physics + Maths Crossover – Essential for SHM, Radioactivity, Capacitors (Physics) and Calculus (Maths).

📖 Relevant For:
Class 11 & 12 Maths (CBSE, ISC, State Boards)
IIT-JEE, NEET, BITSAT, NDA, Olympiads
Engineering & Science Students

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