Find the Critical Point(s) of the Function

question 158

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)(1, 0); relative maximum value: f(1, 0) = 2
• B)(0, 0); relative minimum value: f(0, 0) = 5
• C)(0, - 1); saddle point: f(0, - 1) = - 5
• D)there are no critical points

---

Definitions:

Central Limit Theorem

A statistical theory stating that, given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.

Consistent Estimator

An estimator that, as the sample size increases, converges in probability to the true parameter value.

Population Mean

The average value of all the members of a population.

Random Sample

A subset of individuals chosen from a statistical population in such a way that each individual has an equal chance of being selected.