
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Calc 1.2 Finding..
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Consider the function f(x) = 6x - x2 and the point P(2, 8) on the graph of f.
(a) Graph f and the secant lines passing through P(2, 8) and Q(x, f(x)) for x-values of 3, 2.5, 1.5.
10
I 10
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67
У
4-
/
21
6 8 10
-2 0
-10 -8 6 -4 -2
0
\2
-10 -8-6 4
10
2
-2
2
х
-2
-4
-6
-8
-10
10
10
18
2
0
-6-4-2
-2
-10 -8
2/4 /6 8 10
-10 -8
10
-4 -2
9.
4
8.
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X.
-2
-6
-8
-8
// -10
-10
(b) Find the slope of each secant line.
(line passing through Q(3, f(x)))
(line passing through Q(2.5, f(x)))
(line passing through Q(1.5, f(x)))
(c) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(2, 8).

Transcribed Image Text:A webassign.net
Mathway | Calcul.
Document29.docx
Calc 1.2 Finding..
English summary.
myTCC - Blackbo.
Complete your re.
1.1 - 2413, sectio..
ApplyTexas
Cengage
https://www.uta.
My Questions | b..
У
-10 -8 6 4 2 0
-2
-10 -8 -6 -4
2/ 4 /6
8 10
10
-2
2
-2
-6
-8
-8
-10
-10
(b) Find the slope of each secant line.
(line passing through Q(3, f(x)))
(line passing through Q(2.5, f(x)))
(line passing through Q(1.5, f(x)))
(c) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(2, 8).
Describe how to improve your approximation of the slope.
Define the secant lines with points closer to P.
O Choose secant lines that are nearly vertical.
Define the secant lines with points farther away from P.
Choose secant lines that are nearly horizontal.
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