Download presentation

Presentation is loading. Please wait.

Published byAmber Lum Modified over 2 years ago

1
Miss Battaglia AB Calculus

2
Given a point, P, we want to define and calculate the slope of the line tangent to the graph at P. Definition of Tangent Line with Slope m If f is defined on an open interval containing c, and if the limit exists, then the line passing through (c,f(c)) with slope m is the tangent line to the graph of f at the point (c,f(c)).

3
Find the slope of the graph of f(x) = 2x – 3 at the point (2,1)

4
Find the slope of the graph of f(x) = 3 – 5x at the point (-1,8)

5
Find the slopes of the tangent lines to the graph of f(x) = x 2 + 1 at the points (0,1) and (-1,2).

6
Find the slope of the graph of f(x) = x 2 – 9 at the point (2,-5)

7
The derivative measures the steepness of the graph of a function at some particular point on the graph. Thus, the derivative is a slope.

8
The derivative of f at x is given by provided the limit exists. For all x for which this limit exists, f’ is a function of x. Notations: (they all mean the same thing!)

9
Find the derivative of f(x) = x 3 + 2x

10
Find the derivative of f(x) = 8 – (1/5)x

11
Find f’(x) for. then find the slopes of the graph of f at the points (1,1) and (4,2). Discuss the behavior of f at (0,0).

12
(a)Find an equation of the tangent line to the graph of the equation at a given point. (b)Use a graphing utility to graph the function and its tangent line at the point (c)Use the derivative feature of a graphing utility to confirm your results. f(x) = x 2 + 3x + 4(-2,2)

13
Find the derivative with respect to t for the function y=2/t.

14
The limit represents f’(c) for a function f and a number c. Find f and c.

15
Read 2.1 Page 103 #17-31 odd, 37, 43, 45, 53-58

Similar presentations

Presentation is loading. Please wait....

OK

Limits Pre-Calculus Calculus.

Limits Pre-Calculus Calculus.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Gastrointestinal anatomy and physiology ppt on cells Ppt on viruses and bacteria facts Ppt on 2d and 3d figures 2nd Ppt on soft skills download Ppt on nature and human ads Ppt on special types of chromosomes Ppt on ms dos commands Ppt on ipl 6 2013 Mp ppt online registration 2013 Presenting ppt on ipad