Find the Critical Point(s) of the Function

question 205

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.

• A) (8, - 6); relative minimum value: f(8, - 6) = - 24
• B) (- 8, 6); relative maximum value: f(- 8, 6) = - 56
• C) (8, 6); saddle point: f(8, 6) = 24
• D) there are no critical points

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Definitions:

Flexibility Status

A description of the range of motion available in a joint or group of joints, indicative of the malleability or elasticity of the muscles and ligaments.

Improved Relaxation

A state of reduced stress and increased calmness, often achieved through techniques like meditation or deep-breathing exercises.

Increased Appetite

A heightened desire or need to eat more frequently or in larger quantities than usual, which can be triggered by various factors including stress, intense physical activity, or certain medical conditions.

Flexibility

The quality of bending easily without breaking, often referred to the ability of muscles and joints to stretch.