Continuity & Differentiability | Core Maths

Continuity & Differentiability | Core Maths | Class 12th Commerce

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Commerce Wallah by PW

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@CommerceWallahPW 11 күн бұрын

Nirnay 12th Commerce 2025 physicswallah.onelink.me/ZAZB/rr2voqii

@ADEDLOOP 10 күн бұрын

00:30 - Preparing students for upcoming assessments and marking criteria. 01:28 - Importance of preparation and practice for mathematics success. 03:11 - Focus on mastering calculus to secure strong exam scores. 04:08 - Introduction to Continuity and Differentiability in Calculus. 05:55 - Exam structure includes various types of questions with different marks. 06:43 - Understanding continuity and its significance in functions. 08:43 - Graph analysis of sinx-cosx function. 09:58 - Explains the graph of polynomial functions and their continuity. 12:05 - Explains continuity between defined intervals in a function. 13:02 - Understanding continuity of non-integer functions and greatest integer function. 14:41 - Understanding continuity and differentiability in functions. 15:31 - Understanding continuity and discontinuity in the Signum function. 17:36 - Understanding continuity at specific points in functions. 18:30 - Continuous functions maintain consistent values with defined limits. 20:26 - Understanding continuous functions, specifically polynomial functions. 21:28 - Understanding types of functions and their continuity. 23:35 - Understanding continuity within specific domains of functions. 24:51 - Sine and cosine functions have specific values at multiple angles of π. 26:47 - Understanding continuity and its exceptions in real numbers. 27:58 - Understanding continuity through example values. 29:28 - Understanding continuity in real numbers and exceptions. 30:18 - Overview of key limits involving sine, logarithm, and exponential functions. 32:41 - Understanding right-hand and left-hand limits for continuity. 33:41 - Understanding limits as h approaches zero in continuity. 36:11 - Understanding the continuity condition for a function involving variable k. 37:08 - Function continuity depends on conditions around the point 2. 38:51 - Understanding limits and continuity in functions at x = 2. 39:54 - Instructions for participating in the MCQ quiz are provided. 41:44 - Understanding limits using left-hand limits (LHL) in calculus. 42:44 - Understanding limits and continuity in relation to functions. 44:34 - Identifying discontinuity points in a given function. 45:28 - Understanding continuity of functions near specific points. 47:38 - Function is discontinuous at x = 0 and x = 1. 48:30 - Discusses easy questions in mathematics and preparation for exams. 50:40 - Understanding limits in continuity questions simplifies MCQ solving. 51:31 - Understanding limits at x = π/2 and continuity in functions. 53:32 - Understanding L'Hôpital's Rule for Limits 54:29 - Understanding indeterminate forms and applying L'Hôpital's rule. 56:43 - Understanding continuity and differentiability for exam success. 57:32 - Understanding derivatives and their application in solving questions. 59:27 - Understanding continuity requires analyzing polynomial functions and their denominators. 1:00:39 - Understanding continuity and differentiability in functions. 1:03:03 - Understanding continuity with left-hand and right-hand limits. 1:04:00 - Understanding values of 'a' and 'b' in equations. 1:06:04 - Understanding continuity involves determining the value of k for the function at x = 0. 1:07:12 - Understanding limits and differentiability in mathematical functions. 1:09:20 - Discontinuity occurs when the denominator is zero. 1:10:14 - Understanding discontinuity at specific points in a function. 1:12:31 - Understanding critical points and their impact on function behavior. 1:13:28 - Understanding cases for x with respect to 4 in continuity. 1:15:44 - Understanding continuity and differentiability in a function at a point. 1:16:59 - Understanding when to change limits in calculus. 1:19:13 - Understanding limits and sine function manipulation in calculus. 1:20:18 - Understanding division and multiplication in continuity and differentiability. 1:23:05 - Understanding Continuity and Differentiability at specific points. 1:24:00 - Discussed continuity and upcoming lessons on differentiability. ADEDLOOP.....