Use Desmos to create a single graph with the following three functions: 1. f(z) = 4x5 - 7z 2. f'(z) 3. f" (z) Change the scale of the x-axis and y-axis so that all local maximum and minimum points are visible. Explain how the three graphs are interrelated. If you were looking at the picture only (without knowing the original function) how could you determine which graph is the first derivative and which is the second derivative? Use the ideas of max/min points and intervals where the graphs are positive/negative, increasing/decreasing in your answer.
Use Desmos to create a single graph with the following three functions: 1. f(z) = 4x5 - 7z 2. f'(z) 3. f" (z) Change the scale of the x-axis and y-axis so that all local maximum and minimum points are visible. Explain how the three graphs are interrelated. If you were looking at the picture only (without knowing the original function) how could you determine which graph is the first derivative and which is the second derivative? Use the ideas of max/min points and intervals where the graphs are positive/negative, increasing/decreasing in your answer.
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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Transcribed Image Text:Use Desmos to create a single graph with the following three functions:
1. f(z) = 4x5
2. f'(z)
3. f" (x)
7
Change the scale of the x-axis and y-axis so that all local maximum and minimum points are visible.
Explain how the three graphs are interrelated. If you were looking at the picture only (without knowing the original
function) how could you determine which graph is the first derivative and which is the second derivative? Use the
ideas of max/min points and intervals where the graphs are positive/negative, increasing/decreasing in your
answer.
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