Find the Critical Point(s) of the Function

question 128

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, 1) is the critical point, the function has neither a relative maximum nor a relative minimum at this point
• B) (4, 1) is the critical point, it is impossible to determine the relative extrema of the function
• C) (4, 1) is the point of maximum, 12 is the relative maximum
• D) (4, 1) is the point of minimum, 12 is the relative minimum
• E) no critical points

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Definitions:

JOptionPane.PLAIN_MESSAGE

A constant in the JOptionPane class used to display a plain, no-icon message dialog in Java Swing.

System.out.println()

A method in Java that outputs a line of text to the console or standard output stream.

System.out.printf()

A method in Java used for formatted console output, allowing the user to write formatted data to the system's standard output.

Relational Operator

An operator used in programming languages to compare two values or expressions, such as ==, !=, >, <, >=, <=.