Find Dy/dx by Implicit Differentiation $x^{3}+3 x^{2} y+y^{3}=8$ A) $-\frac{x^{2}+2 x y}{x^{2}+y^{2}}$

Multiple Choice

Find dy/dx by implicit differentiation.
- $x^{3}+3 x^{2} y+y^{3}=8$

A) $-\frac{x^{2}+2 x y}{x^{2}+y^{2}}$
B) $\frac{x^{2}+3 x y}{x^{2}+y^{2}}$
C) $-\frac{x^{2}+3 x y}{x^{2}+y^{2}}$
D) $\frac{x^{2}+2 x y}{x^{2}+y^{2}}$