Compute All First-Order Partial Derivatives of the Given Function $f ( x , y ) = ( 4 x + 2 y ) ^ { 4 }$

question 17

Multiple Choice

Compute all first-order partial derivatives of the given function. $f ( x , y ) = ( 4 x + 2 y ) ^ { 4 }$

• A) \(f _ { x } = 16 ( 4 x + 2 y ) ^ { 5 }\) , \(f _ { y } = 8 ( 4 x + 2 y ) ^ { 5 }\)
• B) \(f _ { x } = 16 ( x + 2 y ) ^ { 3 }\) , \(f _ { y } = 8 ( 4 x + 2 ) ^ { 3 }\)
• C) \(f _ { x } = 16 ( 2 y ) ^ { 3 }\) , \(f _ { y } = 8 ( 4 x ) ^ { 3 }\)
• D) \(f _ { x } = 16 ( 4 x + 2 y ) ^ { 3 }\) , \(f _ { y } = 8 ( 4 x + 2 y ) ^ { 3 }\)

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