Find the Partial Derivative $f _ { x } \text { for the function } f ( x , y ) = \sqrt { 28 x + y ^ { 3 } } \text {. }$

question 78

Multiple Choice

Find the partial derivative $f _ { x } \text { for the function } f ( x , y ) = \sqrt { 28 x + y ^ { 3 } } \text {. }$

• A)
• \(f _ { x } ( x , y ) = \frac { 14 } { \sqrt { 28 x + y ^ { 3 } } }\)
• B)
• \(f _ { x } ( x , y ) = \frac { 393 x } { \sqrt { 28 x + y ^ { 3 } } }\)
• C)
• \(f _ { x } ( x , y ) = \frac { 197 } { \sqrt { 28 x + y ^ { 3 } } }\)
• D)
• \(f _ { x } ( x , y ) = \frac { 1 } { 2 \sqrt { 28 x + y ^ { 3 } } }\)
• E)
• \(f _ { x } ( x , y ) = \frac { 28 x } { \sqrt { 28 x + y ^ { 3 } } }\)

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