$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$

question 180

Multiple Choice

$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$
- $f ( x , y , z ) = x ^ { 2 } y + y ^ { 2 } z + x z ^ { 2 }$

• A) \(f _ { x } = 2 x y + z ^ { 2 } ; f _ { y } = x ^ { 2 } + 2 y z ; f _ { z } = y ^ { 2 } + 2 x z\)
• B) \(f _ { X } = 2 y + z ^ { 2 } ; f _ { y } = x ^ { 2 } + 2 z ; f _ { z } = y ^ { 2 } + 2 x\)
• C) \(f _ { x } = 2 x y ; f _ { y } = x ^ { 2 } + 2 y z ; f _ { z } = y ^ { 2 } + 2 x z\)
• D) \(f _ { x } = 2 x y + z ^ { 2 } ; f _ { y } = x ^ { 2 } + y z ; f _ { z } = y ^ { 2 } + x z\)

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