Compute ∂2f∂x∂y\frac{\partial^2 f}{\partial x \partial y}∂x∂y∂2f where f(x,y)=x3y2+sin(xy)f(x, y) = x^3 y^2 + \sin(xy)f(x,y)=x3y2+sin(xy).
6xy2+xcos(xy)−ysin(xy)6xy^2 + x\cos(xy) - y\sin(xy)6xy2+xcos(xy)−ysin(xy)
6xy2−xsin(xy)6xy^2 - x\sin(xy)6xy2−xsin(xy)
6x2y+cos(xy)−xysin(xy)6x^2 y + \cos(xy) - xy\sin(xy)6x2y+cos(xy)−xysin(xy)
6xy2+cos(xy)−xysin(xy)6xy^2 + \cos(xy) - xy\sin(xy)6xy2+cos(xy)−xysin(xy)