Given f(x) = 3 - 4x³, use a table to estimate the slope of the tangent line to f at the point P(1, -1). 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.)
Given f(x) = 3 - 4x³, use a table to estimate the slope of the tangent line to f at the point P(1, -1). 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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Given f(x) = 3 - 4x³, use a table to estimate the slope of the tangent line to f at the point P(1, -1).
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
|
|
U
■
▬
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