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Give an Appropriate Answer f(x,y)=ln(y10x9)f ( x , y ) = \ln \left( \frac { y ^ { 10 } } { x ^ { 9 } } \right)

Question 20

Multiple Choice

Give an appropriate answer.
- f(x,y) =ln(y10x9) f ( x , y ) = \ln \left( \frac { y ^ { 10 } } { x ^ { 9 } } \right)


A) fx=ln(9y10x10) ;fy=ln(10y9x9) \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) fx=10y;fy=9x\frac { \partial f } { \partial x } = \frac { 10 } { y } ; \frac { \partial f } { \partial y } = \frac { 9 } { x }
C) fx=9x;fy=10y\frac { \partial f } { \partial x } = - \frac { 9 } { x } ; \frac { \partial f } { \partial y } = \frac { 10 } { y }
D) fx=ln(9x) ;fy=ln(10y) \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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