Give an Appropriate Answer $f ( x , y ) = \ln y ^ { x }$

question 22

Multiple Choice

Give an appropriate answer.
- $f ( x , y ) = \ln y ^ { x }$

• A) \(\frac { \partial f } { \partial x } = 0 ; \frac { \partial f } { \partial y } = - \frac { x } { y }\)
• B) \(\frac { \partial f } { \partial x } = x \ln y ; \frac { \partial f } { \partial y } = - \frac { x } { y }\)
• C) \(\frac { \partial f } { \partial x } = \ln y ; \frac { \partial f } { \partial y } = - x \ln y\)
• D) \(\frac { \partial f } { \partial x } = \ln y ; \frac { \partial f } { \partial y } = \frac { x } { y }\)

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Definitions:

Monozygotic Twin

Identical twins that result from the splitting of a single fertilized egg, sharing the same genetic material.

Organ Donation

The process by which an individual voluntarily offers an organ or tissue for transplantation to someone in need.

Dizygotic Twin

Twins that are formed from two separate eggs fertilized by two different sperm cells, making them genetically similar as siblings but not identical.

Chromosomes

Filamentous entities found within the nucleus of both animal and plant cells, composed of protein and a singular molecule of DNA (deoxyribonucleic acid).