Assuming that the operator $\hat A$ does not commute with $d \hat A/dt$, what is $\frac{d}{dt}(\exp(\hat A))$? $\exp(\hat A) \frac{d \hat A}{dt}$ or $\frac {d\hat A}{dt} \exp(\hat A)$ and why?
Total time derivative of exp(A)
haha
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