Find the Critical Point(s) of the Function

question 160

Short Answer

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.
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Find the critical point(s) of the function.
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Find the point(s) of maximum.
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Find the point(s) of minimum.
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Find the relative extrema of the function.

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Definitions:

Main Effect

In analysis of variance, the direct influence of an independent variable on a dependent variable, discounting interactions with other variables.

Factor A

A variable manipulated or monitored to determine its effects on an outcome in an experiment.

Critical Value

A threshold value that separates the region where the null hypothesis is rejected from the region where it is not rejected, based on the chosen significance level.

Df

Short for Degrees of Freedom, it represents the number of independent pieces of information available to estimate another piece of information.