Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt [ 3 ] { \frac { x ( x - 9 ) } { x ^ { 3 } + 5 } }$$

question 231

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt [ 3 ] { \frac { x ( x - 9 ) } { x ^ { 3 } + 5 } }$$

• A) \(\frac { 1 } { 3 } \sqrt [ 3 ] { \frac { x ( x - 9 ) } { x ^ { 3 } + 5 } } \left( \frac { 1 } { x } + \frac { 1 } { x - 9 } - \frac { 3 x ^ { 2 } } { x ^ { 3 } + 5 } \right)\)
• B) \(\frac { 1 } { 3 } \left( \ln x + \ln ( x - 9 ) - \ln \left( x ^ { 3 } + 5 \right) \right)\)
• C) \(\frac { 1 } { x } + \frac { 1 } { x - 9 } - \frac { 3 x ^ { 2 } } { x ^ { 3 } + 5 }\)
• D) \(3 \sqrt [ 3 ] { \frac { x ( x - 9 ) } { x ^ { 3 } + 5 } } \left( \frac { 1 } { x } + \frac { 1 } { x - 9 } - \frac { 3 x ^ { 2 } } { x ^ { 3 } + 5 } \right)\)

Understand the role of self-presentation and behavioral confirmation in reinforcing gender norms.

Grasp the strategies employed by individuals to navigate gender norms and the consequences thereof.

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Recognize the symptoms and causes of posttraumatic stress disorder (PTSD).

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The yearly interest rate that a bond yields, represented as a percentage of its nominal value.

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The nominal or dollar value printed on a bond or stock certificate, representing the amount due at maturity or the value of a share.

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