MATLAB: Bad partial differentiation

diff result expression subs

Hi, I've a problem with this:
input parameter to my function is degree-it's number
There is a reason why I need m0,phi0 and not l0
m=sym('m',[1,degree]);
m=[m0 m];
l=sym('l',[degree,1]);
phi=sym('phi',[1,degree]);
phi=[phi0 phi] ;
for i=1:length(phi)
phi(i)=strcat(char(phi(i)),'(t)');
end
B=(1/2)*l(1)*m(2)*diff(phi(1),t)*diff(phi(2),t)*cos(phi(2))
phit=phi(2)
subs(diff(subs(B, phit, 'phit'),'phit'),'phit', phit)
I want to derive according to phi1(t), and the result is 0, but I expect (-1/2)*l1*m1*diff(phi0(t),t)*diff(phi1(t),t)*sin(phi1(t))
BUT, when I derive this B=(1/2)*l(1)*m(2)*diff(phi(1),t)*cos(phi(2)), it's all righ,
Any help would be appreciated

Best Answer

The MuPAD Symbolic Toolbox cannot differentiate with respect to a function. (Maple cannot either.)