Find the First Partial Derivative for the Function $f ( x , y , z ) = 5 x ^ { 2 } y - 3 x y z + 6 y z ^ { 2 } \text { with }$

question 85

Multiple Choice

Find the first partial derivative for the function $f ( x , y , z ) = 5 x ^ { 2 } y - 3 x y z + 6 y z ^ { 2 } \text { with }$ respect to z.

• A) \(f _ { z } ( x , y , z ) = - 3 x z + 9 y z\)
• B) \(f _ { z } ( x , y , z ) = - 6 x y + 12 y z\)
• C) \(f _ { z } ( x , y , z ) = 12 x y + 15 y z\)
• D) \(f _ { z } ( x , y , z ) = 3 x z + 12 y z\)
• E) \(f _ { z } ( x , y , z ) = - 3 x y + 12 y z\)

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