Find the Derivative of the Function $f ( x ) = \sqrt { x + 3 }$

question 4

Multiple Choice

Find the derivative of the function. $f ( x ) = \sqrt { x + 3 }$

• A) \(\frac { 1 } { 2 \sqrt { x - 3 } }\)
• B) \(\frac { 9 } { x ^ { 4 } }\)
• C) \(2 x + 3\)
• D) \(\frac { 1 } { 2 \sqrt { x + 3 } }\)
• E) \(- \frac { 1 } { 2 \sqrt { x + 3 } }\)

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Definitions:

Partial Regression Slope Coefficients

Parameters in a multiple regression model that represent the individual effect of each independent variable on the dependent variable, holding all other variables constant.

Standard Error of Estimate

A statistical measure that provides an estimation of the standard deviation of the error term in a regression model, indicating the accuracy of predictions.

Coefficient of Determination

A measure in statistical models that indicates the proportion of the variance in the dependent variable predictable from the independent variables, often symbolized as \(R^2\).

Multicollinearity

A statistical phenomenon in which predictor variables in a regression model are highly correlated, potentially leading to difficulties in estimating separate effects on the dependent variable.