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Video tutorials - PUC Mathematics: Calculus - Continuity and Differentiability (Central Board of Secondary Education (CBSE))

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shaalaa.com | Continuity and Differentiability part 1 (Calculus Introduction)

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Continuity and Differentiability part 1 (Calculus Introduction) [00:07:41]
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Series 1: playing of 37

Continuity and Differentiability
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Continuity and Differentiability part 1 (Calculus Introduction)
00:07:41
Continuity and Differentiability part 2 (Why calculus)
00:12:47
Continuity and Differentiability part 3 (Definition Continuity)
00:11:00
Continuity and Differentiability part 4 (Example continuity at point)
00:12:51
Continuity and Differentiability part 5 (Example continuity at point)
00:12:12
Continuity and Differentiability part 6 (Example point of discontinuity)
00:13:39
Continuity and Differentiability part 7 (Example point of discontinuity)
00:09:27
Continuity & Differentiability part 8 (Continuous function)
00:11:50
Continuity and Differentiability part 9 (Example Continuous function)
00:12:27
Continuity and Differentiability part 10 (Example Continuous function)
00:14:02
Continuity and Differentiability part 11 (Algebra Continuous function)
00:14:19
Continuity and Differentiability part 12 (Continuity composite function)
00:06:40
Continuity and Differentiability part 13 (Differentiability Intro)
00:10:59
Continuity and Differentiability part 14 (Proof derivative xn sin cos tan)
00:14:42
Continuity and Differentiability part 15 (Algebra of Derivatives)
00:12:55
Continuity and Differentiability part 16 (Chain Rule of derivative)
00:09:39
Continuity and Differentiability part 17 (Example Chain rule derivative)
00:07:56
Continuity and Differentiability part 18 (Example Chain rule derivative)
00:10:49
Continuity and Differentiability part 19 (Derivative implicit function)
00:13:23
Continuity and Differentiability part 20 (Example Derivative implicit function)
00:12:17
Continuity and Differentiability part 21 (Derivative inverse trigono function)
00:13:51
Continuity and Differentiability part 22 (Example Derivative inverse trigono)
00:13:46
Continuity and Differentiability part 23 (Exponential functions)
00:08:46
Continuity and Differentiability part 24 (Logarithimic functions)
00:14:04
Continuity and Differentiability part 25 (Properties of logs)
00:10:05
Continuity and Differentiability part 26 (Derivative exponential and log)
00:11:04
Continuity and Differentiability part 27 (Example Differential exponential log)
00:11:45
Continuity and Differentiability part 28 (Logarithimic Differentiation)
00:09:47
Continuity and Differentiability part 29 (Example Logarithimic Derivative)
00:09:24
Continuity and Differentiability part 30 (Example Logarithimic Derivative)
00:08:35
Continuity and Differentiability part 31 (Example Logarithimic Derivative)
00:11:16
Continuity and Differentiability part 32 (Derivative parametric function)
00:05:46
Continuity and Differentiability part 33 (Example Derivative parametric fx)
00:13:38
Continuity and Differentiability part 34 (Second Order Derivative)
00:08:34
Continuity and Differentiability part 35 (Example Second Order Derivative)
00:14:22
Continuity and Differentiability part 36 (Rolls theorem)
00:07:21
Continuity and Differentiability part 37 (Mean Value theorem)
00:13:53

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Description

  • Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
  • Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof ) and their geometric interpretation.
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