Find the Derivative of the Function $$p = \left( \frac { q ^ { 8 } + 4 } { 2 q } \right) \left( \frac { q ^ { 7 } + 6 } { q } \right)$$

question 170

Multiple Choice

Find the derivative of the function.
- $$p = \left( \frac { q ^ { 8 } + 4 } { 2 q } \right) \left( \frac { q ^ { 7 } + 6 } { q } \right)$$

• A) \(\frac { \mathrm { dp } } { \mathrm { dq } } = \frac { 13 } { 2 } \mathrm { q } ^ { 12 } - \frac { 24 } { \mathrm { q } ^ { 3 } }\)
• B) \(\frac { d p } { d q } = \frac { 1 } { 2 } q ^ { 12 } + 2 q ^ { 4 } + 3 q ^ { 5 } + \frac { 24 } { q ^ { 3 } }\)
• C) \(\frac { d p } { d q } = \frac { 13 } { 2 } q ^ { 12 } + 10 q ^ { 4 } + 18 q ^ { 5 } - \frac { 24 } { q ^ { 3 } }\)
• D) \(\frac { d p } { d q } = \frac { 17 } { 2 } q ^ { 16 } + 18 q ^ { 8 } + 30 q ^ { 9 } - \frac { 24 } { q ^ { 3 } }\)

Understand the different types of therapies used in treating mental health disorders.

Recognize the importance of the therapeutic alliance in the success of psychotherapy.

Identify the roles and effectiveness of biomedical therapies in managing psychological disorders.

Comprehend the historical development and key figures in the evolution of mental health treatment.

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