Find the Derivative of Y with Respect to the Appropriate $$y = \left( \theta ^ { 2 } + 4 \theta \right) \tanh ^ { - 1 } ( \theta + 3 )$$

question 133

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = \left( \theta ^ { 2 } + 4 \theta \right) \tanh ^ { - 1 } ( \theta + 3 )$$

• A) \(( 2 \theta + 4 ) \tanh ^ { - 1 } ( \theta + 3 ) - \frac { \theta } { \theta + 2 }\)
• B) \(( 2 \theta + 4 ) - \frac { 1 } { \theta + 8 }\)
• C) \(( 2 \theta + 4 ) \tanh ^ { - 1 } ( \theta + 3 ) - \frac { \theta ^ { 2 } + 4 \theta } { 1 + ( \theta + 3 ) ^ { 2 } }\)
• D) \(- \frac { \theta } { \theta + 2 }\)

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