1ls3_lectures1617

# 1ls3_lectures1617 - Announcements Topics...

This preview shows pages 1–6. Sign up to view the full content.

Announcements Topics: ‐ sec0ons 4.1 – 4.5 (diferen0a0on rules), 4.6 * Read these sec0ons and study solved examples in your textbook! Work On: ‐ Prac0ce problems From the textbook and assignments From the coursepack as assigned on the course web page (under the link “SCHEDULE + HOMEWORK”)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Using the Deriva0ve to Sketch the Graph of a Func0on Example 4.1, #18. Sketch the graph of g ( x ) = 4 x x 2 . y x
Chain Rule “deriva0ve of the outer func0on evaluated at the inner func0on 0mes the deriva0ve of the inner func0on” Example: DiFeren0ate the following. (a) (b) [ f ( g ( x ))]' = f '( g ( x )) g x ) f ( x ) = (4 x 3 + 1) 10 g ( x ) = 1 x 2 + 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Chain Rule Example 4.5, #58 . The number of mosquitoes ( M ) that end up in a room is a func0on of how far the window is open ( W , in square cen0metres) according to The number of bites ( B ) depends on the number of mosquitoes according to Find the deriva0ve of B as a func0on of W . M ( W ) = 5 W + 2. B ( M ) = 0.5 M .
Deriva0ve of the Natural Exponen0al Func0on Defni&on: The number e is the number for which Natural Exponen0al Func0on : y x f ( x ) = e x f ( x ) = e x lim h 0 e h 1 h = 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 18

1ls3_lectures1617 - Announcements Topics...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online