Use the limit definition to find the slope of the tangent line to the graph of f at the given point. See Examples 3, 4, and 5. f(x) = 4; (3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax)-f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A → 0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = 4 f(x + Ax)-f(x) Ax f(-3 + Ax)-f( [ Ax Ax

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Use the limit definition to find the slope of the tangent line to the graph of fat the given point. See Examples 3, 4, and 5.
f(x) = 4; (-3, 4)
Step 1
Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following.
f(x + Ax) - f(x)
Ax
m sec
The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A→0. We will first determine msec for f(x) = 4 at the point
(-3, 4).
=
=
m sec
=
=
f(x + Ax) = f(x)
Ax
f(-3 + Ax) -
Ax
Ax
Transcribed Image Text:Use the limit definition to find the slope of the tangent line to the graph of fat the given point. See Examples 3, 4, and 5. f(x) = 4; (-3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax) - f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A→0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = = f(x + Ax) = f(x) Ax f(-3 + Ax) - Ax Ax
Expert Solution
steps

Step by step

Solved in 3 steps with 16 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning