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 $- 5 x y ^ { 2 } + 6 x ^ { 2 } y - 4 x = 0$ .

A) $- \frac { 21 } { 16 }$
B) $\frac { 15 } { 11 }$
C) $\frac { 21 } { 16 }$
D) $- \frac { 21 } { 11 }$