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Differentiating a bilinear function with the symbolic Toolbox

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Assume we have functions, which look like this:
a(x,y) = 1 + 2x + 3y + 4xy
b(x,y) = 5 - 6x + 7y - 8xy
can I somehow get the result of the differentiation of y with respect to a?
Or the differentiation of x with respect to a?
Or the differentiation of y with respect to b?
Or the differentiation of x with respect to b?...

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