Estimate the derivative of the function f(x) graphed in Figure 2.22 at x=-2, -1, 0, 1, 2, 3, 4, 5. Slope of tangent = f'(-1)=2 -2-1 4 3 2 1 -1 -2 -3 f(x) 1 2 3 S X Slope of tangent = f'(3) = -1 Figure 2.22: Estimating the derivative graphically as the slope of a tangent line

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Estimate the derivative of the function f(x) graphed in Figure 2.22 at x=-2, -1, 0, 1, 2, 3, 4, 5.
Slope of tangent
= f'(-1)=2
!
-2-1
ام در را -
4
13
2
-1
-2
-3
1
f(x)
2
3
5
Slope of tangent
= f'(3) = -1
Figure 2.22: Estimating the derivative graphically as the slope of a tangent line
Transcribed Image Text:Estimate the derivative of the function f(x) graphed in Figure 2.22 at x=-2, -1, 0, 1, 2, 3, 4, 5. Slope of tangent = f'(-1)=2 ! -2-1 ام در را - 4 13 2 -1 -2 -3 1 f(x) 2 3 5 Slope of tangent = f'(3) = -1 Figure 2.22: Estimating the derivative graphically as the slope of a tangent line
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