Differentiability
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_03_01 |
Topic Name : Differentiability |
|
Sub Topic Name : Differentiability |
|
Introduction
Definition of differentiation.
Pre-Requisites:
Knowledge about functions, limits and to check continuity of a function.
Activity:
Relation of continuity and differentiation.
Real Life Question:
What is differentiation?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Derivative | The measure of rate of change. |
| Differentiable Function | The function which is continuous and whose derivative exist at x=c is differentiable at x=c. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take a function | Check its continuity and find if its derivative exists or not. |
Real life uses :
To find the measure of rate change.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| Finding the speed of body | If a polynomial function defines the locus of a body, its speed can be found using differentiation. |
What you learn in Theory:
Differentiation by definition.
What you learn in Practice:
Differentiation as an application of calculus.