Derivatives
Chapter Name : Limits And Derivatives |
Sub Topic Code : 104_11_13_05_01 |
Topic Name : Derivatives |
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Sub Topic Name : Derivatives |
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Introduction
Derivative is rate of change of one physical quantity with another.
Pre-Requisites:
• Knowledge of Limits. • Knowledge of algebraic expressions.
Activity:
You can observe a derivative function. Here the function is the height of growing child which changes with respect to age.
Real Life Question:
Is ice-cube an example of derivative?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Derivative | Derivative is rate of change of one quantity to other. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Growth chart | Take a growth chart and find height of a child with respect to age. |
Real life uses :
Derivatives are used all the time by scientists, mathematicians, engineers. Derivatives are used by people maintaining water reservoir to measure water level changes with respect to time.
Places to visit :
Open your refrigerator and get an ice-cube. Here the function is the amount of ice –cube melting with respect to time.
Practical examples around us
| Examples | Explainations |
|---|---|
| Change in currency rates | Rate of change in currency rates will impact business results. |
What you learn in Theory:
Derivative is the rate of change of function f(x) at a specific value.
What you learn in Practice:
Derivative is a measure of how one quantity changes in response to changes in some other quantity. Example the rate of change of speed of car with respect to distance.