This slide is about differentiation.

1. Welcome to the presentation
Name:Israt Jahan Mim
Id:163-15-8596

2. Differentiation

4. What is Differentiation?
 Differentiation is an operation that allows us to
find a function that outputs the rate of change
of one variable with respect to another variable.

5. History of Differentiation
In Isaac Newton's day, one of the biggest problems was poor navigation at sea.
Before calculus was developed, the stars were vital for navigation.
Shipwrecks occured because the ship was not where the captain thought it should be. There
was not a good enough understanding of how the Earth, stars and planets moved with respect
to each other.
Calculus (differentiation and integration) was developed to improve this understanding.
Differentiation and integration can help us solve many types of real-world problems.
We use the derivative to determine the maximum and minimum values of particular functions
(e.g. cost, strength, amount of material used in a building, profit, loss, etc.).

6. Application of Differentiation
1. Tangents and Normals
2. Newton's Method
Newton's Method Interactive Graph
3. Curvilinear Motion
4. Related Rates
5. Curve Sketching Using Differentiation
6. More Curve Sketching Using Differentiation
7. Applied Maximum and Minimum Problems
8. Radius of Curvature

7. Use in real llife...
 As differenciation means the measurement of distance, that means it has many
impact on our everyday llife.
 To determine global possition of an object.
 Economics: stock market calculation.
 To determine change in properties in mechanical engineering
 and so onn...

8. Thank you