Differentiate Implicitly to Find $\frac { \partial z } { \partial y } \text {, given } 3 x + \sin ( 10 y + z ) = 0$

Multiple Choice

Differentiate implicitly to find $\frac { \partial z } { \partial y } \text {, given } 3 x + \sin ( 10 y + z ) = 0$

A) 3
B) 10
C) $- \frac { 3 } { \cos ( y + z ) }$
D) $- \frac { 10 } { \cos ( y + z ) }$
E) $- 10$