We are given with an equation sin(xy) + = x² – y² , we have to find by using the given equation, so by differentiating the equation on both sides with respect to x, we get,

cos(xy) [(1)y + x] + = 2x – 2y

ycos(xy) + xcos(xy) = 2x – 2y

[x cos(xy) + + 2y] = 2x – y cos(xy) +