Sunday, May 23, 2021

CHAPTER 5 : CONTINUITY AND DIFFERENTIABILITY

 CHAPTER 5 : CONTINUITY AND DIFFERENTIABILITY

VIDEO ON HOW TO VIEW THE CONTENTS AT THIS BLOG


UNIT III – CALCULUS

Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivative 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.

NCERT TEXT BOOK – CHAPTER 5

The digital copy of NCERT text book - Chapter 5 – Continuity and Differentiability for reference

https://drive.google.com/file/d/1jh3swAojksv-oDHa0iPOAFHWSzwLDpVG/view?usp=sharing

 

CONCEPTS

The handout contains definition and examples to Chapter 5 – Continuity and Differentiability

https://drive.google.com/file/d/1ZhV92Si4V2diUUqm95OojFEgS0YUIyWh/view?usp=sharing

SOLUTIONS TO NCERT TEXT BOOK QUESTIONS 

Solution to NCERT text book Exercises of Chapter 5 is solved through PPT.  The PPT is made with animation to view the steps of solutions.

EXERCISE

LINK TO OPEN PPTs ON SOLUTIONS FROM GOOGLE DRIVE

5.1 Continuity of a function


5.2 Derivative of composite function


5.3 Differentiation of implicit function


5.3 Differentiation of inverse trigonometric function


5.4 Differentiation of Exponential and Log function


5.5 Logarithmic Differentiation


5.6 Derivative of Parametric Equations


5.7 Second Ordre Derivative


5.8 Mean Value Theorem


 

SOLUTIONS WITH NARRATIONS TO NCERT TEXT BOOK QUESTIONS 

Solution with narrations to NCERT text book Exercises of Chapter 5 is solved through PPT.  The PPT is made with animation and narrations to view the steps of solutions.

EXERCISE

LINK TO OPEN PPTs ON SOLUTIONS WITH NARRATIONS FROM GOOGLE DRIVE

5.1 Continuity of a function

https://drive.google.com/file/d/1dnpB6cd-_SHg0oudtDPlxB96LZI64Ucu/view?usp=sharing

5.2 Derivative of composite function

https://drive.google.com/file/d/17AJpPymXBUlT4kzTTRWsP8kqKIicA1m6/view?usp=sharing

5.3 Differentiation of implicit function

https://drive.google.com/file/d/1i-6Z5mjXdOeuyu1bbwTRX2ykNNkwFqkr/view?usp=sharing

5.3 Differentiation of inverse trigonometric function

https://drive.google.com/file/d/1bHqiwa6iwZD6RnbXtpEpwRAGxxKOCU1c/view?usp=sharing

5.4 Differentiation of Exponential and Log function

https://drive.google.com/file/d/1ZM3xjBnSgjTpngK8mn740OJt3jT7dIo4/view?usp=sharing

5.5 Logarithmic Differentiation

https://drive.google.com/file/d/12Mj6ShrfGgaaen2134bwbihJZfRV76Z8/view?usp=sharing

5.6 Derivative of Parametric Equations

https://drive.google.com/file/d/1gCZo_jJQ_8AAfUmg6fnRgwWjuFsbif4n/view?usp=sharing

5.7 Second Order Derivative

https://drive.google.com/file/d/1twIzd-qy3N1B3EY8_3OtkKzaC-ckVJT5/view?usp=sharing

5.8 Mean Value Theorem

https://drive.google.com/file/d/11i8_G0yVDOaV5kWqkEt3ARaGjlo_gU0x/view?usp=sharing

 

SOLUTIONS TO NCERT TEXT BOOK QUESTIONS IN VIDEO FORMATS

The PPTs on Solution to Solution with narrations to NCERT text book Exercises of Chapter 5 is converted into video and the same is uploaded in YouTube.  

EXERCISE

LINK TO YOUTUBE VIDEO

5.1 Continuity of a Function

https://youtu.be/TzLzUKG-sMo

5.2 Differentiation of Composite Functions

https://youtu.be/bBK_kosk-xg

 

5.3 Differentiation of Implicit Functions

https://youtu.be/JiY0fYPkWGA

5.3 Differentiation of inverse trig functions

https://youtu.be/0EVlCe0mS60

5.4 Differentiation of Exponential and Log Functions

https://youtu.be/C25rBwflAc4

5.5 Logarithmic differentiation 

https://youtu.be/zITglEg-KPg

5.6 Differentiation of Parametric form

https://youtu.be/owARfQuD6uI

5.7 Second Order Derivative

https://youtu.be/cC35bMM5RXc

5.8 Mean Value Theorem

https://youtu.be/ok-1vsiRiH8

 

MCQ QUESTIONS ON CHAPTER 5

The document contains Multiple Choice questions on Chapter 5

https://drive.google.com/file/d/1_qq4Kj3dt6vG1mdCklGAly0cFu1eKUvn/view?usp=sharing

 

PRACTICE QUESTIONS ON CHAPTER 5

The document contains practice questions on Chapter 5

https://drive.google.com/file/d/12KwaLN4IqrXzQ_08PAFDijG4nv1MPghd/view?usp=sharing

 

LAB ACTIVITIES BY NCERT

The lab activities on Chapter 5  published by NCERT.  The document contains 6 activities 

https://drive.google.com/file/d/1asZxP1L-l0MklX5VZU8lJ1bj7sV3oSEg/view?usp=sharing

 

MATERIAL FOR FURTHER REFERENCE

S.No

Links to Videos from Swayamprabha and NROER on continuity and Diff

1

https://youtu.be/y8-ZLRfo0pE

2

https://youtu.be/CJ3mVRYdIWo

3

https://youtu.be/f7AixPfL8JM

4

https://youtu.be/GX1ax3dOEVk

5

https://youtu.be/W9L31iPKi6M

6

NROER - File - Limits and Continuity

7

NROER - File - Logarithmic Differentiation

8

NROER - File - Differentiation An Introduction

9

NROER - File - Chain Rule

10

NROER - File - Second Order Derivative

11

NROER - File - Rolle's and Mean Value Theorems