Continuity and Differentiability - Full Chapter Explanation | Class 12 Maths Chapter 5 | 2022-23
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✅ In this video,
✔️ Class: 12th
✔️ Subject: Maths
✔️ Chapter: Continuity and Differentiability (Chapter 5)
✔️ Topic Name: Continuity and Differentiability - Full Chapter Explanation, NCERT Solutions and MCQs | Class 12 Maths Chapter 5 | 2022-23
✔️ Topics Covered In This Video : This video by Shivani Mam will provide detailed explanation of the chapter Continuity and Differentiability. In this video, she will discuss and explain all the important concepts, NCERT Exercise solutions, MCQs and will also provide helpful tips on how to answer them during the exams. The video will help students to prepare for their upcoming board exams and score better in the examination.
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00:00 Introduction: Continuity & Differentiability
01:02 Overview: Geometrical meaning of continuity
04:58 Examples of continuous functions
07:45 Continuity of a function at a point
01:36:27 Question 1 to 13: Exercise 5.1 (Page No. 159): Continuity & Differentiability
Que.1 Prove that the function f(x)=5x-3 is continuous at x = 0, at x=-3 and at x = 5.
03:52:53 Question 14 to 24: Exercise 5.1 (Page No. 160): Continuity & Differentiability
05:30:04 Question 25 to 34: Exercise 5.1 (Page No. 161): Continuity & Differentiability
06:34:41 Derivative
06:40:30 Derivative at a point
06:51:54 Differentiability
07:09:13 Geometrical Significance of Derivative
07:20:38 Differentiation
07:25:02 Formulae of differentiation
07:33:54 Algebra of derivatives
07:51:43 Chain Rule
08:13:39 Question 1 to 10: Exercise 5.2 (Page No. 166): Continuity & Differentiability
10:04:07 Topics to be covered
10:06:11 Difference Between Explicit & Implicit function
10:12:12 Derivatives of implicit functions
10:30:56 Derivatives of Inverse Trigonometric Functions
10:53:38 Question 1 to 10: Exercise 5.3 (Page No. 169): Continuity & Differentiability
12:27:01 Question 11 to 15: Exercise 5.3 (Page No. 169): Continuity & Differentiability
13:00:15 Topics to be Covered
13:01:28 Exponential Functions
13:13:47 Salient Features of the Exponential Functions
13:17:55 Differentiation Formulae
13:27:17 Logarithmic Functions
13:41:28 Properties of Logarithmic Functions
13:57:04 Question 1 to 10: Exercise 5.4 (Page No. 174): Continuity & Differentiability
15:02:39 Logarithmic Differentiation
16:20:56 Question 1 to 18: Exercise 5.5 (Page No. 178): Continuity & Differentiability
20:05:25 Derivatives of Parametric Functions
20:52:35 Question 1 to 11: Exercise 5.6 (Page No. 181): Continuity & Differentiability
22:37:38 Second Order Derivatives
23:45:06 Question 1 to 17: Exercise 5.7 (Page No. 183): Continuity & Differentiability
25:54:19 Important Results
26:33:21 Rolle's Theorem
26:54:46 Question 1 to 6: Exercise 5.8 (Page No. 183): Continuity & Differentiability
28:19:27 Question 1 to 23: Miscellaneous Exercise (Page No. 191): Continuity & Differentiability
33:57:34 Question 1 to 10: Multiple Choice Questions (MCQs): Continuity & Differentiability
33:37:15 Continuity & Differentiability: Complete Chapter Revision
33:42:19 Continuity of a Function at a Point
36:53:51 Website Overview
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