Find the Critical Point(s) of the Function

question 144

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)(4, 3); saddle point: f(4, 3) = 66
• B)(- 3, 4); relative maximum value: f(- 3, 4) = - 9
• C)(3, - 4); relative minimum value: f(3, - 4) = - 66

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Definitions:

Environmental Limits

Constraints or boundaries set by the surrounding environment that limit the actions, growth, or survival of an organism or system.

Visual Preferences

The tendency to show interest or favor towards certain visual stimuli over others, often observed in infants' choices or gaze patterns.

Measuring

The process of quantitatively determining the size, length, quantity, or capacity of something using defined units.

Objects

Items, things, or entities that can be seen, touched, or otherwise sensed.