If \[{{x}^{3}}+8xy+{{y}^{3}}=64\],then \[\frac{dy}{dx}=\] [AI CBSE 1979]

• A. \[-\frac{3{{x}^{2}}+8y}{8x+3{{y}^{2}}}\]
• B. \[\frac{3{{x}^{2}}+8y}{8x+3{{y}^{2}}}\]
• C. \[\frac{3x+8{{y}^{2}}}{8{{x}^{2}}+3y}\]
• D. None of these