Use the Second Derivative Test to Find the Relative Extrema $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

question 40

Short Answer

Use the Second Derivative Test to find the relative extrema, if any, of the function $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

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Definitions:

P-value

The probability of obtaining a statistical summary (e.g., the difference in means) at least as extreme as the one observed in a study assuming the null hypothesis is true.

Two-sided Significance Tests

Statistical tests that assess the significance of an effect in either direction, allowing for the evaluation of both positive and negative differences.

Null Hypothesis

A statistical hypothesis that assumes no significant difference or relationship exists between certain parameters or distributions.

SRS

Simple Random Sample, a basic sampling technique in which each member of the population has an equal chance of being included in the sample.