Download presentation

Presentation is loading. Please wait.

Published byGarrett Asby Modified over 3 years ago

1
2.1 Derivatives Great Sand Dunes National Monument, Colorado Vista High, AB Calculus. Book Larson, V9 2010Photo by Vickie Kelly, 2003

2
is called the derivative of at. We write: “The derivative of f with respect to x is …” There are many ways to write the derivative of

3
“f prime x”or “the derivative of f with respect to x” “y prime” “dee why dee ecks” or “the derivative of y with respect to x” “dee eff dee ecks” or “the derivative of f with respect to x” “dee dee ecks uv eff uv ecks”or “the derivative of f of x”

4
dx does not mean d times x ! dy does not mean d times y !

5
does not mean ! (except when it is convenient to think of it as division.) does not mean ! (except when it is convenient to think of it as division.)

6
(except when it is convenient to treat it that way.) does not mean times !

7
In the future, all will become clear.

8
The derivative is the slope of the original function. The derivative is defined at the end points of a function on a closed interval.

10
A function is differentiable if it has a derivative everywhere in its domain. It must be continuous and smooth. Functions on closed intervals must have one-sided derivatives defined at the end points.

Similar presentations

Presentation is loading. Please wait....

OK

The Chain Rule Section 3.6c.

The Chain Rule Section 3.6c.

© 2018 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

Ppt on hotel management software Ppt on case study format Ppt on bluetooth vs wifi Ppt on varactor diode symbol Ppt on environmental issues in india Ppt on cold call teach like a champion Ppt on bluetooth based smart sensor networks Ppt on self awareness definition Free ppt on companies act 1956 Ppt on shell structures theory