Find the Critical Point(s) of the Function

question 180

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)(0, 0) and ; saddle point: f(0, 0) = 5; relative minimum value:
• B)(0, 0) and ; saddle point: f(0, 0) = 5; relative maximum value:
• C) and (0, 0); relative minimum: ; relative maximum value: f(0, 0) = - 5
• D)there are no critical points

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Definitions:

Ecology

The branch of biology that studies the interactions among organisms and their environment.

Organisms

Individual living entities that can react to stimuli, reproduce, grow, and maintain homeostasis.

Environment

The surrounding conditions and influences that affect the growth, development, and survival of organisms.

Environmentalism

A broad philosophy and social movement centered on the concern for the conservation and improvement of the environment.