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

question 254

Multiple Choice

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

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

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