Find the correct values for ( frac{ f}{ x} ,and , frac{ f}{ y} ) for the function (f= frac{2}{x^3}y^2+4y^3. )

• A. ( frac{ f}{ x}= frac{-6}{x^2}, frac{ f}{ y}= frac{2}{x^3} y+8y^2 )
• B. ( frac{ f}{ x}= frac{2}{x^4}, frac{ f}{ y}= frac{2}{x^3} y+12y^2 )
• C. ( frac{ f}{ x}= frac{-6}{x^4}, frac{ f}{ y}= frac{4}{x^3} y+12y^2 )
• D. ( frac{ f}{ x}= frac{-6}{x^4}, frac{ f}{ y}= frac{4}{x^3} y^2+12 )