Differentiability
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_03_02 |
Topic Name : Differentiability |
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Sub Topic Name : Derivatives Of Composite Functions |
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Introduction
Derivative of Composite functions.
Pre-Requisites:
Knowledge about functions and limits, definition of derivative
Activity:
Differentiating a composite function.
Real Life Question:
How to find the derivative of composite functions?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Composite Functions | A function which is formed after the composition of two different functions. |
| Chain rule |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take a composite function | Find the derivative of that function using chain rule. |
Real life uses :
Chain is a powerful tool in differentiation of every function.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| f(x)=(?4x+3)?^5 | Find the derivative using chain rule. |
What you learn in Theory:
Derivative of composite functions using chain rule.
What you learn in Practice:
Applications of chain rule in different areas of calculus.