syms x y z v
L=2*(x*z+y*z)+x*y+v*(x*y*z-v);
dLdx=diff(L,'x')
dLdy=diff(L,'y')
dLdz=diff(L,'z')
dLdv=diff(L,'v')
计算结果为:
dLdx =
y + 2*z + v*y*z
dLdy =
x + 2*z + v*x*z
dLdz =
2*x + 2*y + v*x*y
dLdv =
x*y*z - 2*v