Find the Critical Point(s) of the Function

question 22

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) and ; relative maximum value: ; relative minimum value:
• B) and ; saddle point: ; relative minimum value:
• C) ; saddle point:
• D) ; relative maximum value:
• E) there are no critical points

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Definitions:

Mechanism

In chemistry, a detailed description of the step-by-step process by which chemical reactions occur.

Reaction

A process in which substances (reactants) interact to form new substances (products), involving the breaking and forming of chemical bonds.

Stereochemical Detail

Information regarding the three-dimensional arrangement of atoms within molecules that influences reactivity and interaction.

Organic Product

A compound or material derived from living organisms, or synthetically produced to mimic naturally occurring substances.