Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt { x ( x + 3 ) }$$

question 380

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt { x ( x + 3 ) }$$

• A) \(\left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• B) \(\left( \frac { \sqrt { x ( x + 3 ) } } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• C) \(\left( \frac { \ln x + \ln ( x + 3 ) } { 2 } \right)\)
• D) \(\sqrt { x ( x + 3 ) } ( 2 x + 3 )\)

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Definitions:

State-Centered Theories

Theories in political science and sociology that emphasize the central role of the state in social and economic policy-making and development.

Power Resource

Assets or capabilities that provide individuals or groups with the means to exert influence over others, such as economic wealth or political authority.

Elitist

A belief or attitude that those individuals or groups deemed to be superior in terms of ability, wealth, or status are entitled to dominate, control, or have privileges.

Pluralist

An approach that suggests power in a society is distributed among multiple groups and interests, enabling a balance and compromise in decision-making processes.