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

question 29

Multiple Choice

Calculate $\frac { \partial f } { \partial x }$ , and $\frac { \partial f } { \partial y }$ when defined. $f ( x , y ) = 6 x ^ { 3 } - y ^ { 3 } + x - 12$

• A) \(\frac { \partial f } { \partial x } = 18 x ^ { 2 } + 1 - 3 y ^ { 2 }\) , \(\frac { \partial f } { \partial y } = 18 x ^ { 2 } + 1\)
• B) \(\frac { \partial f } { \partial x } = 18 x ^ { 2 } + 1\) , \(\frac { \partial f } { \partial y } = - 3 y ^ { 2 }\)
• C) \(\frac { \partial f } { \partial x } = - 3 y ^ { 2 }\) , \(\frac { \partial f } { \partial y } = 18 x ^ { 2 } + 1\)
• D) \(\frac { \partial f } { \partial x } = 6 x ^ { 2 } + 1\) , \(\frac { \partial f } { \partial y } = - 3 y ^ { 2 }\)
• E) \(\frac { \partial f } { \partial x } = 6 x ^ { 2 }\) , \(\frac { \partial f } { \partial y } = y ^ { 2 }\)

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