$F^{(n)} (p)$ do you first differentiate and afterward apply the Laplace?

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If you have a Laplace transform: $F^{(n)} (p)$, do you first differentiate and afterwards apply the Laplace?
$F(p)$ meaning $L[f(t)](p)$

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$F^{(n)}$ means the $n$th derivative of the Laplace transform. So, it is the result of

  1. Finding the Laplace transform, and then
  2. Taking derivative $n$ times

That said, a certain property of the Laplace transform offers another way to find this derivative.