Calculate $\frac { \partial f } { \partial x }$ , And

question 72

Multiple Choice

Calculate $\frac { \partial f } { \partial x }$ , and $\frac { \partial f } { \partial y }$ when defined. $f ( x , y ) = 9 x ^ { 0.7 } y ^ { 0.9 }$

• A) \(\frac { \partial f } { \partial x } = 6.3 x ^ { 1.7 } y ^ { 0.9 }\) , \(\frac { \partial f } { \partial y } = 8.1 x ^ { 0.7 } y ^ { 1.9 }\)
• B) \(\frac { \partial f } { \partial x } = - 6.3 x ^ { - 0.3 } y ^ { 0.1 }\) , \(\frac { \partial f } { \partial y } = - 8.1 x ^ { 0.3 } y ^ { - 0.1 }\)
• C) \(\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 }\) , \(\frac { \partial f } { \partial y } = 8.1 y ^ { - 0.1 }\)
• D) \(\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 } y ^ { 0.9 }\) , \(\frac { \partial f } { \partial y } = 8.1 x ^ { 0.7 } y ^ { - 0.1 }\)
• E) \(\frac { \partial f } { \partial x } = 6.3 x ^ { - 0.3 } y ^ { 0.9 }\) , \(\frac { \partial f } { \partial y } = 8.1 x ^ { 1.7 } y ^ { - 1.9 }\)

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