Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from smallest to largest x, then from smallest to largest y.) f(x, y) = x³ + y³ - 300x – 108y - 5 (x, y, z) = -10, – 6,2005 maximum (x, y, z) = -10,6,1995 saddle point (х, у, 2) %3D 10, – 6, – 1995 saddle point (x, y, z) = 10.6, – 2005 minimum
Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from smallest to largest x, then from smallest to largest y.) f(x, y) = x³ + y³ - 300x – 108y - 5 (x, y, z) = -10, – 6,2005 maximum (x, y, z) = -10,6,1995 saddle point (х, у, 2) %3D 10, – 6, – 1995 saddle point (x, y, z) = 10.6, – 2005 minimum
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Transcribed Image Text:Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from
smallest to largest x, then from smallest to largest y.)
f(x, y) = x³ + y³ - 300x - 108y - 5
(х, у, 2) %3D
-10, – 6,2005
maximum
(x, y, z) =
-10,6,1995
saddle point
(x, y, z) =
10, – 6, – 1995
saddle point
(x, y, z) =
10,6, – 2005
minimum
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