Differentiability
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_03_03 |
Topic Name : Differentiability |
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Sub Topic Name : Derivatives Of Implicit Functions |
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Introduction
Derivative of Implicit functions.
Pre-Requisites:
Finding derivative using chain rule, Knowledge about functions and variables.
Activity:
Differentiating an implicit function.
Real Life Question:
How to find the derivative of implicit functions?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Implicit Functions | A function which is formed with a combination of both dependent and independent variable. |
| Chain rule | The rule based on the derivative of composite functions. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take an implicit function | Find the derivative of that function using chain rule. |
Real life uses :
Solving implicit functions, introduced in many engineering applications.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| x+y=(?sin?x)?^5 | Find the derivative using chain rule. |
What you learn in Theory:
Derivative of implicit functions using chain rule.
What you learn in Practice:
Applications of chain rule as finding derivative of new class of functions.