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

question 50

Multiple Choice

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

• A) \(f _ { x } = z x e ^ { x y } ; f _ { y } = z y e ^ { x y } ; f _ { z } = e ^ { x y }\)
• B) \(f _ { x } = z y e ^ { x y } ; f _ { y } = z x e ^ { x y } ; f _ { z } = e ^ { x y }\)
• C) \(f _ { x } = z ^ { x y } ; f _ { y } = z e ^ { x y } ; f _ { Z } = e ^ { x y }\)
• D) \(\mathrm { f } _ { \mathrm { X } } = \mathrm { zye } ^ { \mathrm { xy } } ; \mathrm { f } _ { \mathrm { y } } = \mathrm { zxe } ^ { \mathrm { xy } } ; \mathrm { f } _ { \mathrm { Z } } = \mathrm { ze } ^ { \mathrm { xy } }\)

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