Differentiate the Given Function $y = 5 \tan ( 2 x - \sqrt { x } )$

question 20

Multiple Choice

Differentiate the given function. $y = 5 \tan ( 2 x - \sqrt { x } )$

• A) \(\left( 10 - \frac { 5 } { 2 \sqrt { x } } \right) \sec ^ { 2 } ( 2 x - \sqrt { x } )\)
• B) \(5 \sec ^ { 2 } ( 2 x - \sqrt { x } )\)
• C) \(5 \cot \left( \frac { 1 } { 2 x - \sqrt { x } } \right)\)
• D) \(\left( 10 - \frac { 5 } { 2 \sqrt { x } } \right) \tan ( 2 x - \sqrt { x } ) \sec ( 2 x - \sqrt { x } )\)

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Definitions:

Factorial Research Design

An experimental setup that involves manipulation of two or more independent variables to observe their effect on the dependent variables.

Main Effects

The direct impact of each independent variable on the dependent variable in an experiment.

SSB

Sum of Squares Between groups, a measure used in statistical analysis to quantify the variance among different groups.

SSA

SSA stands for Social Security Administration, a U.S. government agency that administers social security, a social insurance program consisting of retirement, disability, and survivors' benefits.