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I was reading an old thermodynamics textbook and came across this equation describing change in internal energy. What does the (dU/dT)V and (dU/dV)T mean? I think it’s partial derivatives, but I’ve never seen a derivative sub (something). Please help

I was reading an old thermodynamics textbook and came across this equation describing change in internal energy What does the dUdTV and dUdVT mean I think its p class=

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Answer:

Indication that the input of a multivariable function can change in many directions. Neither one of these derivatives tells the full story of how our function f ( x , y ) f(x, y) f(x,y)f, left parenthesis, x, comma, y, right parenthesis changes when its input changes slightly, so we call them partial derivatives.

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