Download presentation

Presentation is loading. Please wait.

1
Basic Calculus

2
Outline Differentiation as finding slope Integration as finding area Integration as inverse of differentiation

3
Limit “Limit” as finding the slope of a curve –The slope of the curve y=mx+c is m. –How about the slope of the curve y=x^2? –Approximately, the slope at x1 is (y2-y1)/(x1-x2) x1x2 y1 y2

4
Limit x1x2 y1 y2

5
Differentiation of x^2 x1x2 y1 y2 Let’s find dy/dx at x=x1

6
Differentiation of x^n

7
Differentiating a sum of two functions of x

8
Differentiation of

9
Chain Rule

10
Area under curve x Y= f(x) ba

11
Approximation by Summation xba

12
Integration: Infinitesimal Approximation by Summation xba … Divide into n stripes, and let n goes to infinity

13
The Fundamental Theorem of Calculus Integration is antiderivative:

14
Explaining Fundamental Theorem of Calculus Differentiating area gets curve Differentiating curve gets slope x Y= f(x) ba

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google