Differentiation Problems Lecture 3| Standard & Tricky Questions | Class 11/12 | JEE/Board

Welcome to ABRN Education – Your Trusted Learning Partner! In this video, we bring you the first lecture of our Differentiation Problem Series, specially designed for Class 11, Class 12, and JEE aspirants. If you are struggling with the basics of differentiation, this video will give you a rock-solid foundation to solve problems confidently and accurately. Differentiation is one of the most important topics in Calculus, and it plays a major role in both board exams and competitive entrance exams like JEE Main, CUET, NDA, and more. This lecture is ideal for beginners who want to start from scratch and develop clear conceptual understanding through problem-solving. 📘 What You Will Learn in This Lecture: In this lecture, we focus on basic problems of differentiation that form the core of calculus. We’ll go step by step to solve questions using simple rules and formulas that every student must know before moving on to advanced problems. ✅ Topics Covered: Introduction to Differentiation Derivative of Constant Function Derivative of Variable Function Power Rule of Differentiation Sum and Difference Rule Basic Trigonometric Derivatives (sin x, cos x, tan x) Concept of dy/dx and notation How to identify and apply the right rule in a problem All problems are explained using an easy-to-understand approach, with proper steps, formulas, and reasoning. Even if you're not very strong in calculus, by the end of this video, you'll start gaining confidence in solving derivative-based problems. 🧾 Why This Lecture is Important for You: 📚 Concept Clarity: We explain every step, not just the answer. You'll understand "why" and "how". 💯 Exam-Oriented Approach: We solve questions similar to those asked in CBSE Boards and JEE. 🧠 Visual Learning: Problems are solved on screen using handwritten-style explanation to improve clarity. 🧑‍🏫 Teacher Support: This series is created by educators who know how to break down complex topics for school and competitive exam students. Differentiation is often considered tough because of formula overload — but in this series, we focus only on what matters and how to apply it correctly. 🧩 Sample Problems in This Lecture: Find the derivative of: 𝑓 ( 𝑥 ) = 3 𝑥 2 + 5 𝑥 − 7 f(x)=3x 2 +5x−7 Differentiate: 𝑦 = sin ⁡ 𝑥 + cos ⁡ 𝑥 y=sinx+cosx If 𝑓 ( 𝑥 ) = 𝑥 5 − 4 𝑥 + 9 f(x)=x 5 −4x+9, find 𝑓 ′ ( 𝑥 ) f ′ (x) Differentiate: 𝑦 = 2 𝑥 3 + tan ⁡ 𝑥 y=2x 3 +tanx Evaluate 𝑑 𝑑 𝑥 ( cos ⁡ 𝑥 − 4 𝑥 2 ) dx d ​ (cosx−4x 2 ) We cover these problems step by step using the appropriate differentiation rules. You will also learn how to avoid common mistakes and how to write proper steps in board exams.