erweitern e^{(t-1)}U(t-1)

Lösung

erweitern

e^{(t - 1)} U (t - 1)

e^{t - 1} t U - e^{t - 1} U

Schritte zur Lösung

e^{(t - 1)} U (t - 1)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = e^{(t - 1)} U, b = t, c = 1

= e^{(t - 1)} U t - e^{(t - 1)} U \cdot 1

= e^{(t - 1)} t U - 1 \cdot e^{(t - 1)} U

Multipliziere:

1 \cdot e^{t - 1} = e^{t - 1}

= e^{t - 1} t U - e^{t - 1} U

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