Statistical Thermodynamics and Rate Theories/Tips for deriving relations with partition functions

Use the rules of logarithms

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You can use the rules of logarithms to isolate terms.

 
 

Example

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Derivatives of Constants are Equal to Zero

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If you are taking a derivative of a function, you can use the rules of logarithms to isolate a term that depends on that variable. Now, you only need to take the derivative on this term. the derivatives of all other terms will be zero