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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
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