1ls3_lectures1617 - Announcements Topics...

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

View Full Document Right Arrow Icon
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”)
Background image of page 1

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

View Full Document Right Arrow Icon
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
Background image of page 2
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
Background image of page 3

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

View Full Document Right Arrow Icon
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 .
Background image of page 4
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
Background image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
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 Right Arrow Icon
Ask a homework question - tutors are online