erweitern (3t(x)-5)xt'

Lösung

erweitern

(3 t (x) - 5) x t^{^{'}}

3 x^{2} t^{1 +'} - 5 x t^{'}

Schritte zur Lösung

(3 t (x) - 5) x t^{^{'}}

= x t^{^{^{'}}} (3 t (x) - 5)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = x t^{^{'}}, b = 3 t (x), c = 5

= x t^{^{^{'}}} \cdot 3 t (x) - x t^{^{^{'}}} \cdot 5

= 3 t x (x) t^{^{^{'}}} - 5 x t^{^{^{'}}}

Vereinfache

3 t x (x) t^{^{'}} - 5 x t^{^{'}} : 3 x^{2} t^{1 +^{'}} - 5 x t^{^{'}}

= 3 x^{2} t^{1 +^{'}} - 5 x t^{^{'}}

e x p an d \frac{( 2 - x ) ( x - 3 ) ( x - 4 )}{24}

s im pl i f y (5 + sin (t))^{2} + cos^{2} (t)

e x p an d \frac{378.7 ( s + 1 )}{s ^{4} + 30 s ^{3} + 100 s ^{2} - 200 s + 400}

e x p an d - \frac{43}{16 ( 4 w - 1 )}

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