Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ..., then L{t?f{t)} = (-1)"_"F(s). ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) {te-12t

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Use Theorem 7.4.1.
THEOREM 7.4.1 Derivatives of Transforms
If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then
L{t"f(t)} = (-1) F(s).
ds"
Evaluate the given Laplace transform. (Write your answer as a function of s.)
E{te-12t
Transcribed Image Text:Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then L{t"f(t)} = (-1) F(s). ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) E{te-12t
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