1D.  State the slope of the tangent line by substituting x = 2 into the derivative f'(x).  State the value f'(2).                                1E.  Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to the derivative value f'(2)?                                  1F.  Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to f(2), the y-coordinate on the parabola at x = 2?

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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Experiment 1: 

1D.  State the slope of the tangent line by substituting x = 2 into the derivative f'(x).  State the value f'(2).

                               1E.  Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to the derivative value f'(2)?  

                               1F.  Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to f(2), the y-coordinate on the parabola at x = 2? 

-8
-6
-4
f(x)= 0.25 x²-5
-2
6
4
2
0
Ń
-4
-6
2
tangent
4
6
S
8
Center (0,0)
X
Transcribed Image Text:-8 -6 -4 f(x)= 0.25 x²-5 -2 6 4 2 0 Ń -4 -6 2 tangent 4 6 S 8 Center (0,0) X
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