Use Implicit Differentiation to Find the Specified Derivative at the Given

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { d y } { d x }$ at the point $( 1,1 )$ for $3 x ^ { 2 } + 5 y ^ { 3 } + 2 x y = 0$ .

A) $- \frac { 8 } { 7 }$
B) $- \frac { 8 } { 17 }$
C) $\frac { 8 } { 17 }$
D) $- \frac { 5 } { 7 }$