Find ( /dy/dx ) by implicit differentiation. ( eʸ cos(x) = 3 sin(xy) ).
a) ( /dy/dx = -/sin(x)/eʸ cos(x) - 3y cos(xy) )
b) ( /dy/dx = /
sin(xy) + 3y cos(xy)/eʸ cos(x) )
c) ( /dy/dx = -/sin(xy) - 3y cos(xy)/eʸ cos(x) )
d) ( /dy/dx = /sin(x)/eʸ cos(x) + 3y cos(xy) )