MATLAB: How to find the mixed partial derivatives using Matlab

calculusderivativeshigher order partial derivativematlab derivativemixed derivativepartial derivatives

For example, to find d^3f/dxdy^2 of x^4*sin(xy)??

syms x y
f = (x^4)*sin(x*y);
der = diff(f,x,y,y)
der =
- 6*x^5*sin(x*y) - x^6*y*cos(x*y)

   syms x y
   f(x,y) = x*sin(y);
   d2fdxdy = diff(diff(f,x),y); % = cos(y)

Another way is:

   syms x y
   diff(x*sin(x*y),x,y);  % = 2*x*cos(x*y)-x^2*y*sin(x*y)