Question: Let L ( f ( t ) ) = F ( s ) be the Laplace transform of f ( t ) . Show that

Let L(f(t))=F(s) be the Laplace transform of f(t). Show that
L{f(t)t}=sF(s)ds.
Let L(f(t))=F(s) be the Laplace transform of f(t). Show that L{f(t)t}=sF(s)ds.

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