Each of the following functions has at most one critical point. Graph a few level curves and a few gradients and, on this basis alone, decide whether the critical point is a local maximum, a local minimum, a saddle point, or that there is no critical point. For f(r, y) = e zv°, type of critical point: ? For f(x, y) = ez* v°, type of critical point: ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Each of the following functions has at most one critical point. Graph a few level curves and a few gradients and,
on this basis alone, decide whether the critical point is a local maximum, a local minimum, a saddle point, or
that there is no critical point.
For f(x, y) = e-z²-v°, type of critical point: ?
For f(x, y) = e* v°, type of critical point: ?
For f(x, y) = x² + y² + 4, type of critical point: ?
For f(x, 3) = x² + y+4, type of critical point: ?
>
Transcribed Image Text:Each of the following functions has at most one critical point. Graph a few level curves and a few gradients and, on this basis alone, decide whether the critical point is a local maximum, a local minimum, a saddle point, or that there is no critical point. For f(x, y) = e-z²-v°, type of critical point: ? For f(x, y) = e* v°, type of critical point: ? For f(x, y) = x² + y² + 4, type of critical point: ? For f(x, 3) = x² + y+4, type of critical point: ? >
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