Institute: Central Board of Secondary Education (CBSE)

Subject: Mathematics

Topic: Calculus - Continuity and Differentiability

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

#### Series 1: playing of 37

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Continuity and Differentiability

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Continuity and Differentiability part 1 (Calculus Introduction)

00:07:41

00:07:41

Continuity and Differentiability part 2 (Why calculus)

00:12:47

00:12:47

Continuity and Differentiability part 3 (Definition Continuity)

00:11:00

00:11:00

Continuity and Differentiability part 4 (Example continuity at point)

00:12:51

00:12:51

Continuity and Differentiability part 5 (Example continuity at point)

00:12:12

00:12:12

Continuity and Differentiability part 6 (Example point of discontinuity)

00:13:39

00:13:39

Continuity and Differentiability part 7 (Example point of discontinuity)

00:09:27

00:09:27

Continuity & Differentiability part 8 (Continuous function)

00:11:50

00:11:50

Continuity and Differentiability part 9 (Example Continuous function)

00:12:27

00:12:27

Continuity and Differentiability part 10 (Example Continuous function)

00:14:02

00:14:02

Continuity and Differentiability part 11 (Algebra Continuous function)

00:14:19

00:14:19

Continuity and Differentiability part 12 (Continuity composite function)

00:06:40

00:06:40

Continuity and Differentiability part 13 (Differentiability Intro)

00:10:59

00:10:59

Continuity and Differentiability part 14 (Proof derivative xn sin cos tan)

00:14:42

00:14:42

Continuity and Differentiability part 15 (Algebra of Derivatives)

00:12:55

00:12:55

Continuity and Differentiability part 16 (Chain Rule of derivative)

00:09:39

00:09:39

Continuity and Differentiability part 17 (Example Chain rule derivative)

00:07:56

00:07:56

Continuity and Differentiability part 18 (Example Chain rule derivative)

00:10:49

00:10:49

Continuity and Differentiability part 19 (Derivative implicit function)

00:13:23

00:13:23

Continuity and Differentiability part 20 (Example Derivative implicit function)

00:12:17

00:12:17

Continuity and Differentiability part 21 (Derivative inverse trigono function)

00:13:51

00:13:51

Continuity and Differentiability part 22 (Example Derivative inverse trigono)

00:13:46

00:13:46

Continuity and Differentiability part 23 (Exponential functions)

00:08:46

00:08:46

Continuity and Differentiability part 24 (Logarithimic functions)

00:14:04

00:14:04

Continuity and Differentiability part 25 (Properties of logs)

00:10:05

00:10:05

Continuity and Differentiability part 26 (Derivative exponential and log)

00:11:04

00:11:04

Continuity and Differentiability part 27 (Example Differential exponential log)

00:11:45

00:11:45

Continuity and Differentiability part 28 (Logarithimic Differentiation)

00:09:47

00:09:47

Continuity and Differentiability part 29 (Example Logarithimic Derivative)

00:09:24

00:09:24

Continuity and Differentiability part 30 (Example Logarithimic Derivative)

00:08:35

00:08:35

Continuity and Differentiability part 31 (Example Logarithimic Derivative)

00:11:16

00:11:16

Continuity and Differentiability part 32 (Derivative parametric function)

00:05:46

00:05:46

Continuity and Differentiability part 33 (Example Derivative parametric fx)

00:13:38

00:13:38

Continuity and Differentiability part 34 (Second Order Derivative)

00:08:34

00:08:34

Continuity and Differentiability part 35 (Example Second Order Derivative)

00:14:22

00:14:22

Continuity and Differentiability part 36 (Rolls theorem)

00:07:21

00:07:21

Continuity and Differentiability part 37 (Mean Value theorem)

00:13:53

00:13:53

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(if you have any topic related video then share link with us)### 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.