Given f(x) = 3x² – 5, use a table to estimate the slope of the tangent line to f at the point P(1, -2).

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
Given f(x) = 3x² - 5, use a table to estimate the
slope of the tangent line to f at the point P(1, -2).
1. Find the slope of the secant line PQ for each
point Q(x, f(x)) with the x values given in the
table. (Round each answer to 6 decimal places
if necessary.)
2. Use the answers from the table to estimate the
value of the slope of the tangent line at the
point P. (Round your answer to the nearest
integer.)
Provide your answer below:
X
0.9
0.99
0.999
1.001
1.01
1.1
slope~
mpQ
Transcribed Image Text:Given f(x) = 3x² - 5, use a table to estimate the slope of the tangent line to f at the point P(1, -2). 1. Find the slope of the secant line PQ for each point Q(x, f(x)) with the x values given in the table. (Round each answer to 6 decimal places if necessary.) 2. Use the answers from the table to estimate the value of the slope of the tangent line at the point P. (Round your answer to the nearest integer.) Provide your answer below: X 0.9 0.99 0.999 1.001 1.01 1.1 slope~ mpQ
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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