Find $\frac { d p } { d q }$ If $p = \ln \left( \frac { 7 q ^ { 2 } - 3 } { q } \right)$

question 61

Multiple Choice

Find $\frac { d p } { d q }$ if $p = \ln \left( \frac { 7 q ^ { 2 } - 3 } { q } \right)$

• A) \(\frac { 7 q ^ { 2 } - 3 } { q \left( 7 q ^ { 2 } - 3 \right) }\)
• B) \(\frac { 7 q ^ { 2 } + 3 } { q \left( 7 q ^ { 2 } - 3 \right) }\)
• C) \(\frac { 14 q ^ { 2 } + 3 } { q \left( 7 q ^ { 2 } - 3 \right) }\)
• D) \(\frac { 14 q ^ { 2 } - 3 } { q \left( 7 q ^ { 2 } - 3 \right) }\)
• E) \(\frac { 14 q ^ { 2 } + 7 } { q \left( 7 q ^ { 2 } - 3 \right) }\)

Creatively illustrate the debate on freedom and determinism through fictional dialogue, demonstrating an understanding of the key issues and positions.

Reflect on the significance of freedom in human life and its relation to moral responsibility.

Understand the diversity of ethical theories and their foundational principles.

Recognize the importance of moral autonomy and the role of subjective judgement in Kant's theory.

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