Compute All First-Order Partial Derivatives of the Given Function $f ( x , y ) = ( 5 x + 8 y ) ^ { 3 }$

Multiple Choice

Compute all first-order partial derivatives of the given function. $f ( x , y ) = ( 5 x + 8 y ) ^ { 3 }$

A) $f _ { x } = 15 ( 5 x + 8 y ) ^ { 2 }$ $f _ { y } = 24 ( 5 x + 8 y ) ^ { 2 }$
B) $f _ { x } = 15 ( 5 x + 8 y ) ^ { 4 }$ $f _ { y } = 24 ( 5 x + 8 y ) ^ { 4 }$
C) $f _ { x } = 15 ( x + 8 y ) ^ { 2 }$ $f _ { y } = 24 ( 5 x + 8 ) ^ { 2 }$
D) $f _ { x } = 15 ( 8 y ) ^ { 2 }$ $f _ { y } = 24 ( 5 x ) ^ { 2 }$