🎯 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 🔍 Top YouTube Search terms: Exponential Functions JEE Main Graph Transformations Class 12 How to Plot y = e^x Graph DC Pandey Physics Problems IIT JEE Maths Graphs Exponential Growth & Decay NEET Vertical/Horizontal Shifting of Graphs Asymptotes in Exponential Functions IIT Kanpur Maths Lectures JEE 2026 Preparation Strategy exponential functions graph transformations IIT JEE maths NEET physics e^x graph graphical transformations class 11 DC Pandey physics IIT Kanpur lectures competitive exam maths asymptotes explained how to plot exponential graphs y = e^x graph tricks IIT JEE graphical transformations maths shortcuts for JEE exponential functions class 12 graph shifting and scaling IIT lecturer teaching maths DC Pandey problems solved sinx graph transformations asymptotes in exponential functions 🔍 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 👍 Like, Share & Subscribe for more high-quality lectures from IIT Kanpur experts! Drop your doubts in the comments. #ExponentialFunctions #Graphs #IITJEE #NEET #Maths #IITKanpur #RameshChandra #DCPandey #CompetitiveExams #Class11Maths #Class12Maths 🚀 Crack JEE with IIT Kanpur Toppers! 📢 About Us: Mathsarc Education LLP is a team of IITians, NITians, and Professors dedicated to helping students crack JEE Main/Advanced in their 1st attempt with structured coaching, expert strategies, and proven results. Founded by Ramesh Chandra (IIT Kanpur) ✅ 15+ Years JEE Teaching Experience ✅ 1st Attempt Success Formula 📢 Join Mathsarc Education LLP! 🏆 Team of IITians, NITians & Senior Professor! 📞 Call Now: 8007267089 | 8484948623 🌐 Visit: https://www.mathsarc.com 🔥 Limited Seats! Enroll Today: https://rzp.io/l/jeemain-mathsarc "Your IIT journey starts here!"