Using a Calculator or Computer Determine All Critical Numbers of

question 88

Multiple Choice

Using a calculator or computer determine all critical numbers of and use the First Derivative Test to classify each as a local minimum, local maximum or neither.

• A) local maximum: none Local minimum: none Neither at
• B) local maximum at Local minimum at Neither at
• C) local maximum at Local minimum at Neither at
• D) local maximum: none Local minimum at Neither at and

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Definitions:

Primary Alkyl Halides

Organic compounds where a halogen atom is directly bonded to a primary carbon, which is attached to only one other carbon.

Secondary Alkyl Halide

An organic compound in which a halogen atom is bonded to a secondary carbon, i.e., a carbon atom connected to two other carbon atoms.

Dichlorination Products

The chemical compounds resulting from the addition of two chlorine atoms to another molecule, often used in the context of organic chemistry reactions.

Free Radical Chlorination

A reaction that involves the substitution of hydrogen atoms in hydrocarbons with chlorine atoms through a free radical mechanism.