Upcoming SlideShare
×

# Derivatives Lesson Oct 6

366 views
312 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
366
On SlideShare
0
From Embeds
0
Number of Embeds
9
Actions
Shares
0
9
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Derivatives Lesson Oct 6

1. 1. Average and Instantaneous Rate of Change
2. 2. B f(a +h) ­ f(a) distance A h a a + h time f(a+h) ­ f(a) average velocity =  h
3. 3. B B f(a +h) ­ f(a) distance B A tangent line a a + h time Instantaneous rate of change:  lim f (a + h) ­ f(a) h      0 h
4. 4. Find the slope of the tangent line at x = 1 on f(x) = x2.
5. 5. Find the slope of the tangent line at x = 1 on f(x) = x2.     now let     x      0
6. 6. THE DEFINITION lim f(x + h) ­ f(x)  h      0 OF THE DERIVATIVE h f (a + h) ­ f(a) f (a) =  lim   ' h      0 h
7. 7. Find the derivative of f(x) = x2
8. 8. Exercise 2.2 questions 1 ­ 15    odd numbers