If F(x) = 6x⁴- 4x³ + 11 , Find the Intervals

question 359

Essay

If f(x) = 6x⁴- 4x³ + 11 , find the intervals where f is concave up and where f is concave down.

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Definitions:

T-statistic

A statistic calculated from a dataset to compare the mean of the data to a hypothetical mean as part of a t-test.

Critical Value

The boundary value from a statistical distribution where, if the observed test statistic is beyond this point, the null hypothesis is rejected.

Null Hypothesis

A default statement suggesting that there is no statistical significance between the specified datasets, or no effect of a certain variable.

T-statistic

A type of statistic used in hypothesis testing, calculated as the difference between an observed sample mean and a hypothesized population mean, divided by the standard error of the mean.