Find the Partial Derivative $f _ { y } \text { for the function } f ( x , y ) = \sqrt { 8 x + y ^ { 9 } } \text {. }$

question 77

Multiple Choice

Find the partial derivative $f _ { y } \text { for the function } f ( x , y ) = \sqrt { 8 x + y ^ { 9 } } \text {. }$

• A)
• \(f _ { y } ( x , y ) = \frac { 9 y ^ { 8 } } { 2 \sqrt { 8 x + y ^ { 9 } } }\)
• B)
• \(f _ { y } ( x , y ) = \frac { 9 y ^ { 9 } } { \sqrt { 8 x + y ^ { 9 } } }\)
• C)
• \(f _ { y } ( x , y ) = \frac { y ^ { 9 } } { \sqrt { 8 x + y ^ { 9 } } }\)
• D)
• \(f _ { y } ( x , y ) = \frac { 1 } { 2 \sqrt { 8 x + y ^ { 9 } } }\)
• E)
• \(f _ { y } ( x , y ) = \frac { y ^ { 8 } } { 2 \sqrt { 8 x + y ^ { 9 } } }\)

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