Give an Appropriate Answer $f ( x , y ) = \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right) ^ { 2 }$

question 18

Multiple Choice

Give an appropriate answer.
- $f ( x , y ) = \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right) ^ { 2 }$

• A) \(\frac { \partial f } { \partial x } = 50 x ^ { 4 } y ^ { 4 } ; \frac { \partial f } { \partial y } = 40 x ^ { 5 } y ^ { 3 }\)
• B) \(\frac { \partial f } { \partial x } = 100 x ^ { 4 } y ^ { 4 } \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right) ; \frac { \partial f } { \partial y } = 80 x ^ { 5 } y ^ { 3 } \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right)\)
• C) \(\frac { \partial f } { \partial x } = 80 x ^ { 5 } y ^ { 3 } \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right) ; \frac { \partial f } { \partial y } = 100 x ^ { 4 } y ^ { 4 } \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right)\)
• D) \(\frac { \partial f } { \partial x } = 2 \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right) ; \frac { \partial f } { \partial y } = 2 \left( 10 x ^ { 5 } y ^ { 4 } - 5 \right)\)

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