Graph f (x) = x* – 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph (Using the wrench tool, set the graph boundaries to –3 < x < 3 and –6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Graph f (x) = x* – 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph.
(Using the wrench tool, set the graph boundaries to –3 < x < 3 and –6 <y < 6.)
a) Where and why does f'(x) cross the x-axis.
b) On what intervals is f'(x) above the x-axis and what does that say about f (x) on
those intervals.
c) On what intervals is f'(x) below the x-axis and what does that say about f(x) on
those intervals.
Transcribed Image Text:Graph f (x) = x* – 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to –3 < x < 3 and –6 <y < 6.) a) Where and why does f'(x) cross the x-axis. b) On what intervals is f'(x) above the x-axis and what does that say about f (x) on those intervals. c) On what intervals is f'(x) below the x-axis and what does that say about f(x) on those intervals.
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