Use implicit differentiation to find the derivative of y with respect to x for xy² + sin(xy) = 2 .
a) {dy}/{dx} = {-2xy - cos(xy)}/{2xy + cos(xy)}
b) {dy}/{dx} = {-2xy + cos(xy)}/{2xy - cos(xy)}
c) {dy}/{dx} = {2xy + cos(xy)}/{2xy - cos(xy)}
d) {dy}/{dx} = {2xy - cos(xy)}/{2xy + cos(xy)}