Suppose That the Functions F and G and Their Derivatives $\sqrt { g ( x ) } , x = 3$

question 344

Multiple Choice

Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of
x. Find the derivative with respect to x of the given combination at the given value of x.
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$\sqrt { g ( x ) } , x = 3$

• A) \(\frac { 1 } { 2 \sqrt { 3 } }\)
• B) \(- \frac { 1 } { 2 \sqrt { 3 } }\)
• C) \(\frac { 3 } { 4 }\)
• D) \(\frac { 1 } { 4 }\)

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Definitions:

Level of Significance

A threshold set by the researcher which determines the probability of rejecting the null hypothesis when it is true, used in hypothesis testing.

F Ratio

A statistic used in ANOVA tests, comparing the variance between groups to the variance within groups to assess if there are any statistically significant differences.

Null Hypothesis

A hypothesis stating no significant difference or effect, serving as the default assumption in hypothesis testing.

Critical Value

A threshold value in hypothesis testing that separates the region where the null hypothesis is rejected from the region where it is not rejected.