erweitern (e^{6(3+5t)})(6t^5)+(t^6e^{6(3+5t)})(5)

Lösung

erweitern

(e^{6 (3 + 5 t)}) (6 t^{5}) + (t^{6} e^{6 (3 + 5 t)}) (5)

6 e^{18 + 30 t} t^{5} + 5 e^{18 + 30 t} t^{6}

Schritte zur Lösung

(e^{6 (3 + 5 t)}) (6 t^{5}) + (t^{6} e^{6 (3 + 5 t)}) (5)

Entferne die Klammern:

(a) = a

= e^{6 (3 + 5 t)} \cdot 6 t^{5} + t^{6} e^{6 (3 + 5 t)} \cdot 5

e^{6 (3 + 5 t)} = e^{18 + 30 t}

= 6 e^{30 t + 18} t^{5} + 5 e^{6 (5 t + 3)} t^{6}

e^{6 (3 + 5 t)} = e^{18 + 30 t}

= 6 e^{30 t + 18} t^{5} + 5 e^{30 t + 18} t^{6}

e x p an d \frac{n \cdot ( n + 1 )}{2}

s im pl i f y (e^{i θ} + e^{- i θ})^{4}

e x p an d \frac{x}{( x + 1 ) ( x - 3 )}

e x p an d 3 (x - 1 = 2 - (x + 5))

e x p an d \frac{1}{3} (1 - x + \frac{xx}{2})^{3}