Logarithmic Differentiation
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_05_01 |
Topic Name : Logarithmic Differentiation |
|
Sub Topic Name : Logarithmic Differentiation |
|
Introduction
Differentiation of functions using logarithmic approach.
Pre-Requisites:
Finding derivative using chain rule, Knowledge about Logarithmic functions.
Activity:
Differentiating a special class of function with a special approach.
Real Life Question:
How to differentiate functions like y=y^x?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Logarithmic functions | For base, b>1, logarithm is a function for all positive real numbers, defined as ?y=f(X)= log?_b?X |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take any function in the form y=f(X)=?u(X)?^(v(X)) | Find the derivative of that function using chain rule with a logarithmic approach. |
Real life uses :
Used in engineering calculations.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| y=f(X)=x^sinx | Find the derivative by taking log of y. |
What you learn in Theory:
The special functions of mathematics and their differentiation.
What you learn in Practice:
An advanced approach to solve practical problems.