Give an Appropriate Answer $$f ( x , y ) = \ln \left( \frac { y ^ { 10 } } { x ^ { 9 } } \right)$$

question 20

Multiple Choice

Give an appropriate answer.
- $$f ( x , y ) = \ln \left( \frac { y ^ { 10 } } { x ^ { 9 } } \right)$$

• A) \(\frac { \partial f } { \partial x } = - \ln \left( \frac { 9 y ^ { 10 } } { x ^ { 10 } } \right) ; \frac { \partial f } { \partial y } = \ln \left( \frac { 10 y ^ { 9 } } { x ^ { 9 } } \right)\)
• B) \(\frac { \partial f } { \partial x } = \frac { 10 } { y } ; \frac { \partial f } { \partial y } = \frac { 9 } { x }\)
• C) \(\frac { \partial f } { \partial x } = - \frac { 9 } { x } ; \frac { \partial f } { \partial y } = \frac { 10 } { y }\)
• D) \(\frac { \partial f } { \partial x } = - \ln \left( \frac { 9 } { x } \right) ; \frac { \partial f } { \partial y } = \ln \left( \frac { 10 } { y } \right)\)

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Definitions:

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An altar in Rome dedicated to Pax, the Roman goddess of peace, commissioned by the Senate to honor Augustus' return and known for its intricate relief sculptures depicting Roman virtues and imperial processions.

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Pantheon

An ancient Roman temple in Rome, Italy, dedicated to all the gods of pagan Rome, now a church, renowned for its massive dome and oculus.