Download presentation

Presentation is loading. Please wait.

Published byLuis Fagan Modified over 3 years ago

1
Warm up Problem If, find.

3
The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:

4
Ex. Given the graph of f (x), sketch f (x). a. b. c.

5
Ex. Given the graph of f (x), sketch f (x).

6
Note: f (a) is a number f (x) is a function Algebraically Ex. If f (x) = 5, find f (x).

7
Ex. If f (x) = 3x – 2, find f (x).

8
Ex. If f (x) = x 2, find f (x).

9
Pract. If f (x) = x 3, find f (x).

10
Rules If f (x) = constant, then f (x) = 0. If f (x) = mx + b, then f (x) = m. If f (x) = x n, then f (x) = nx n – 1. Only use these rules, dont make up your own. If the problem says Use definition of derivative, you must use the limit.

11
Ex. If f (x) = x 902, find f (x). Note: A function is differentiable at a point if the function and its derivative are continuous at the point.

12
Ex. Is the function differentiable at x = 2?

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google