Limits & Derivatives Class 11 | Lecture 01 | Zero to Advanced | JEE Main + Advanced + Boards | ROAR

📘 Lecture 01 — LIMIT & DERIVATIVES | Class 11 Maths | Full Chapter | IIT JEE MAINS & ADVANCED / UP , CBSE , ICSE and Other State Boards / PYQs | Calculus by Ehtisham Sir.

Limit & Derivatives is one of the most important chapters of Class 11 Calculus, forming the foundation of Continuity, Differentiability, AOD, Integrals, Differential Equations and all advanced JEE/Board topics.
This lecture teaches the chapter from Zero to Advanced, with Kota-style clarity, problem-solving methods, NCERT + Exemplar + PYQs + Competitive coverage.

⭐ FULL CHAPTER COVERAGE — LIMITS (COMPLETE LIST)
A. Concepts & Basics

✔ Meaning & Need of Limits
✔ LHL & RHL
✔ Existence of Limit
✔ Infinite Limits
✔ Limits at Infinity

B. Laws & Techniques

✔ Direct Substitution
✔ Standard Limits
✔ Indeterminate Forms (0/0, ∞/∞, 1^∞, 0·∞, ∞−∞, 0^0, ∞^0)
✔ Factorisation Method
✔ Rationalisation
✔ Sandwich/Squeeze Theorem
✔ JEE-level Simplification Tricks

C. Trigonometric Limits

✔ sinx/x
✔ tanx/x
✔ (1−cosx)/x²
✔ All Standard Trigonometric Limits
✔ JEE Main & Advanced Special Limits

D. Exponential & Logarithmic Limits

✔ (1 + 1/n)ⁿ
✔ log(1+x)/x
✔ aˣ – 1 / x
✔ Standard Exp-Log Limits for JEE

E. Higher-Level Limits

✔ Limits using Expansion
✔ Graph-based Limits
✔ Link to Continuity & Removable Discontinuity
✔ JEE PYQs & Tricks

⭐ FULL CHAPTER COVERAGE — DERIVATIVES
A. Introduction & Meaning

✔ Rate of Change
✔ Geometric Meaning
✔ Slope of Tangent & Normal
✔ Instantaneous Rate (Physics Connection)

B. Derivative from First Principle

✔ Definition
✔ Concept Building
✔ Derivatives of xⁿ, sinx, cosx, tanx, eˣ, logx from First Principle
✔ Logic behind all formula derivations

C. Standard Derivative Formulas

✔ Power, Constant, Sum & Difference
✔ Product Rule
✔ Quotient Rule
✔ Chain Rule
✔ Trigonometric Derivatives
✔ Inverse Trigo
✔ Logarithmic Differentiation
✔ Exponential & Logarithmic
✔ Implicit & Parametric Differentiation

D. JEE Advanced Concepts

✔ Differentiability
✔ Modulus Function
✔ Composite Functions
✔ Expansion-Based Derivatives
✔ Mixed Higher-Level Questions

⭐ EXAM COVERAGE (FULL)

This chapter includes solved questions from:
✔ JEE Main
✔ JEE Advanced
✔ NEET (Math Reasoning Areas)
✔ NDA
✔ BITSAT
✔ MHT-CET
✔ CUET
✔ KVPY
✔ Olympiads
✔ CBSE / ISC / State Boards
✔ NCERT + Exemplar + Previous Year Papers

🎯 Why This Lecture Makes You Master Calculus

✔ Strongest foundation for Class 12 Calculus
✔ Kota-style clarity + fast-solving approach
✔ Board + JEE compatible explanations
✔ Zero confusion
✔ NCERT → JEE bridge
✔ Formula + concept + application + PYQs

📚 This Session Includes:

📝 Kota-style Notes
📘 NCERT + Exemplar Solutions
📂 JEE Main + Advanced PYQs
📊 Class 11 Board Questions
🧠 Homework with solutions
📑 Formula Booklet + Short Tricks
🏆 Extra Competitive Questions

⭐ FULL MATHS SYLLABUS REVISION (BOARDS)

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✔ Chapter-wise formula + PYQ revision
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Available in:
🏫 Offline (School/Institute On-Campus)
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🏫 SCHOOL / COACHING TIE-UP (OFFLINE + ONLINE)

We provide Kota-style full mathematics teaching support for schools & coaching institutes:

✔ Full Academic Year Teaching
✔ Crash Course / Revision Program
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✔ JEE/NEET Foundation + Advanced
✔ Guest Lectures / Workshops
✔ Chapter-wise Specialized Classes
✔ Question Bank + Test Series
✔ Offline / Online Both Available

📩 Email: [email protected]

📱 WhatsApp: +91 8765634913

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