Find the Critical Point(s) of the Function

question 49

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) is the critical point, it is impossible to determine the relative extrema of the function
• B) is the point of minimum, 9 is the relative minimum
• C) is the critical point, the function has neither a relative maximum nor a relative minimum at this point
• D) is the point of maximum, 9 is the relative maximum
• E) no critical points

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Definitions:

Elevation

The height of a point on Earth's surface above a reference level, usually sea level.

Inferring Environment

A process of deducing the natural conditions and surroundings of a specific area based on present and historical data.

Metamorphosed

Describes rock that has undergone transformation in structure or composition due to heat and pressure.

Interpret Relative Ages

The process of determining the chronological order of geological events or rock layers without necessarily determining their absolute age.