Experiment 2: 2A. Slide the large circle on the parabola so the small circle on the x-axis is at x = -2. Substitute x =- 2 into f(x). State the value f(-2). 2B. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 2C. State the slope of the tangent line by substituting x = into the derivative f'(x). State the value f'(-2). = -2 2D. Does f'(-2), the y-coordinate on the gray line at x = -2, have any relationship to the derivative value f'(-2)? 2E. Does f'(-2), the y-coordinate on the derivative line at x = -2, have any relationship to f(-2), the y-coord. on the parabola at x = -2?
Experiment 2: 2A. Slide the large circle on the parabola so the small circle on the x-axis is at x = -2. Substitute x =- 2 into f(x). State the value f(-2). 2B. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 2C. State the slope of the tangent line by substituting x = into the derivative f'(x). State the value f'(-2). = -2 2D. Does f'(-2), the y-coordinate on the gray line at x = -2, have any relationship to the derivative value f'(-2)? 2E. Does f'(-2), the y-coordinate on the derivative line at x = -2, have any relationship to f(-2), the y-coord. 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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Question
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
Transcribed Image Text:Experiment 2: 2A. Slide the large circle on the parabola so the small circle
on the x-axis is at x = -2. Substitute x 2 into f(x). State the value f(-2).
2B. Does the slope of the tangent line appear to be positive,
negative, zero or undefined?
2C. State the slope of the tangent line by substituting x = -2
into the derivative f'(x). State the value f'(-2).
2D. Does f'(-2), the y-coordinate on the gray line at x = -2,
have any relationship to the derivative value f'(-2)?
2E. Does f'(-2), the y-coordinate on the derivative line at x =
-2, have any relationship to f(-2), the y-coord. on the parabola at x = = -2?
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