Changing the derivative variable in symbolic matlab

How can i preform the derivative of a symbolic Matrix in repect to every variable in the equation

in other words: if i have a symbolic Matrix (3x3) which in a function of x1,x2,x3...

how can i calculate dM(1,1)/dx1,dM(1,1)/dx2,dM(1,1)/dx3,...dM(1,2)/dx1,dM(1,2)/dx2,... etc.

just to clarify the matrix M is a symbolic matrix and x1,x2,x3... are symbolic varibles.

Thanks in advance.

Answer 1

[Aghamarsh Varanasi]

Hi,

If the symbolic matrix be stored in a variable 'M', the function 'diff' can be used to get the partial derivative of the matrix 'M'. For Example, M is a Symbolic Matrix of symbolic variables x1, x2 and x3.

Mdx1 = diff(M,x1);

This will give the partial differential of the matrix with respect to x1 i.e, Mdx1(1,1) = dM(1,1)/dx1, Mdx1(1,2) = dM(1,2)/dx1 etc.

You can similarly partially differentiate the matrix 'M' with respect to other symbolic variables x2 and x3.

Hope this helps