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Can numerical differentiation be applied to tensor derivatives?

I know that the derivative of a tensor, say $A$, with dimensions $n\times n$, with respect to another tensor, say $B$, with dimensions $n\times n$, will yield a 4th rank tensor of dimension $n\times n\ … The question is on extending the linear approximation to tensor: If I just want a rough estimate of the derivative of $A$ with respect to $B$, $\d A/\d B$, is it ok to calculate the components of $\d A …
Jesse Feng's user avatar