(Solved): Task 1. Euler's chain rule (trele chain rule) relates partial derivatives of three interdependent va ...

Task 1. Euler's chain rule (trele chain rule) relates partial derivatives of three interdependent variables. This rule suery usefulin thermodynamics since it allows to substitute terms, otherwise difficult to calculate or measure, with such that are easier to operate. Show that Euler's chain rule follows from the germutation and irwersion operations shown below

de Task 1. Euler's chain rule (triple chain rule) relates partial denvatives of three interdependent variables. This rule is very useful in thermodynamics since it allows to substitute terms, otherwise difficult to calculate or measure, with such that are easier to operate. Show that Euler's chain rule follows from the permutation and inversion operations shown below.