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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 36E
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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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Follow-up Question

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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