Show That the Function Has No Relative Extrema on

question 11

Multiple Choice

Show that the function has no relative extrema on .

• A) The function has no relative extrema by definition of the derivation.
• B) The derivation of the function is . At every point the derivative exists and does not equal to 0. So by definition the function has no relative extrema on this interval.
• C) The function has no relative extrema because does not equal to 0 at any point.

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Definitions:

Cilia

Microscopic, hair-like structures on the surface of cells that move rhythmically to transport substances or facilitate movement.

Respiratory System

Organ system of humans that includes the lungs and associated structures; involved in the exchange of gases; helps control pH.

Lung Cancer

Uncontrolled cell growth that affects any component of the respiratory system.

Pneumonectomy

A surgical procedure to remove one lung, often performed to treat lung cancer or severe lung disease.