Question: Please provide step by step solution of getting its derivative. Also, please use easily readable math equations in the solution. Derive that the material time

Please provide step by step solution of getting its derivative. Also, please use easily readable math equations in the solution.
Derive that the material time derivative of the 2nd Piola-Kirchoff stress tensor S, and show that it is invariant under a rigid body rotation Q. Note: Q*QT=QT*Q=1,F=l*F,l=F*F-1,F'=Q*F,R'=Q*R, and '=Q**QT.
Please provide step by step solution of getting

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