(\partial)/(\partial z)(x+y+z)

Lösung

\frac{\partial}{\partial z} (x + y + z)

1

Schritte zur Lösung

\frac{\partial}{\partial z} (x + y + z)

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial z} (x) + \frac{\partial}{\partial z} (y) + \frac{\partial}{\partial z} (z)

\frac{\partial}{\partial z} (x) = 0

\frac{\partial}{\partial z} (y) = 0

\frac{\partial}{\partial z} (z) = 1

= 0 + 0 + 1

Vereinfache

= 1