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Sorry if this has been posted before, but I had a quick question manipulating differentials. This problem is in the context of thermodynamics. We know from the first law that E=E(S,V), and from calculus I know that:

dE=(∂E/∂S)v dS+(∂E/∂V)s dV sorry if this is hard to read, I'm new to the board and not sure if there is a better way.

Does it follow from this that (dE/dV)=(∂E/∂S)v (dS/dV)+(∂E/∂V)s

Thank you in advance for any help.