Exponent And Logarithmic Functions
Chapter Name : Continuity And Differentiability |
Sub Topic Code : 104_12_05_04_01 |
Topic Name : Exponent And Logarithmic Functions |
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Sub Topic Name : Exponent And Logarithmic Functions |
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Introduction
Exponential & Logarithmic Functions and their differentiation.
Pre-Requisites:
Finding derivative using chain rule, Knowledge about functions.
Activity:
Differentiating a special class of function used in long calculations.
Real Life Question:
How to find the derivative of exponential functions?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Exponential Functions | The exponential function with a positive base, b>1, is the function y=f(X)=b^x. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take any exponential or logarithmic function | Find the derivative of that function using chain rule. |
Real life uses :
Finding the rate change measure of some special functions.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| y=f(X)=e^2x | Find the derivative using chain rule. |
What you learn in Theory:
The special functions of mathematics and their differentiation.
What you learn in Practice:
Finding the derivative of such functions using chain rule.