## Calculus: Early Transcendentals 8th Edition

$dy/dx=\frac{-ysin(xy)}{cosy+xsin(xy)}$
Take the derivative as is on either side of the equation: $-sin(xy)\times(x(dy/dx)+y)=0+(dy/dx)cos(y)$ Move all terms with dy/dx onto one side of the equal sign and distribute the dy/dx out of each term: $(dy/dx)\times(cosy+xsin(xy))=-ysin(xy)$ Isolate dy/dx by dividing both sides by the terms: $dy/dx=\frac{-ysin(xy)}{cosy+xsin(xy)}$