Continuity and Differentiability - Full Chapter | Concept & Solutions | Class 11/12/JEE Maths
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✅ In this video,
✔️ Class: 11th/12th/JEE (Mains & Advanced)
✔️ Subject: Maths
✔️ Chapter: Continuity and Differentiability
✔️ Topic Name: Continuity and Differentiability (Calculus) - Full Chapter | Concept and Solutions | Class 11/12/JEE Maths
✔️ Topics Covered In This Video : This YouTube video provides an in-depth and comprehensive explanation of the full chapter of Continuity and Differentiability from Calculus course. Led by renowned educator Deependra Sir, this video covers all the concepts and solutions related to this topic from the Mathematics book of Class 11/12/JEE. Learn and understand this subject in-depth with comprehensive illustrations and examples.
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00:00 Introduction: Continuity and Differentiability
17:02 Continuity of Function
24:58 Question & Solutions: Important Questions: Continuity and Differentiability
Que. A function f(x) satisfies the functional relation f(x + y) = f(x) × f(y) for all real x and y. Show that the function is continuous for all values of x if it is continuous at x=1.
01:30:56 Discontinuity and Its Types
01:53:01 Nonremovable Discontinuity
02:31:05 Directional Continuity
04:32:12 Continuity and Discontinuity of Functions Obtained by Algebraic Operations on Two Given Functions
05:25:07 Continuity of Few Specific Functions
07:04:22 Continuity of Function Involving Signum Function
08:04:41 Continuity of Function Involving Limit at Infinity
09:20:03 Continuity of Composite Function
09:45:27 Question & Solutions: Assignment Questions
Que. Find the values of x in [1, 3] where the function [x2 + 1] ([.] represents the greatest integer function) is discontinuous.
09:50:45 Intermediate Value Theorem IVT
10:48:43 Differentiability: Definition
11:24:37 Differentiability in an Interval
12:26:25 Examining Differentiability Using Differentiation and Graph of the Function
14:25:55 Differentiability of Function Obtained by Algebraic Operations on Two Given Functions
15:47:51 Continuity of Derivative
16:44:13 Question & Solutions: JEE Advanced PYOS: Single correct answer type questions
17:01:35 Question & Solutions: JEE Advanced PYQS: Multiple correct answer type questions
19:12:45 Question & Solutions: JEE Advanced PYOS: Matrix match type questions
20:32:19 Question & Solutions: JEE Advanced PYOS: Numerical value type questions
20:59:55 Website Overview
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