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Find the critical points of the function +2x f (x) = f±2 (t² − 1) et dt. Determine whether they -2x are minimum or maximum or saddle points.

Find the critical points of the function +2x f (x) = f±2 (t² − 1) et dt. Determine whether they -2x are minimum or maximum or saddle points.

Advanced Engineering Mathematics
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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Find the critical points of the function +2x ƒ (x) = ƒ±2ª (t² − 1) e-t¹ dt. Determine whether they -2x are minimum or maximum or saddle points.
Transcribed Image Text:Find the critical points of the function +2x ƒ (x) = ƒ±2ª (t² − 1) e-t¹ dt. Determine whether they -2x are minimum or maximum or saddle points.
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So the maximum is (-0.5, -16e^(-1))?

And the minimum is (0.5, 16e^(-1))?

I need the answer in corrdinate (x,y) form.

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