(\partial)/(\partial x)(z^3-3xyz)

Lösung

\frac{\partial}{\partial x} (z^{3} - 3 x yz)

- 3 zy

Schritte zur Lösung

\frac{\partial}{\partial x} (z^{3} - 3 x yz)

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (z^{3}) - \frac{\partial}{\partial x} (3 x yz)

\frac{\partial}{\partial x} (z^{3}) = 0

\frac{\partial}{\partial x} (3 x yz) = 3 zy

= 0 - 3 zy

Vereinfache

= - 3 zy

\frac{\partial}{\partial x} (e^{9 x e^{y}})

\frac{\partial}{\partial x} (sin^{2} (3 x))

\int csc^{9} (x) d x

x \to 0 lim (x^{2} - 3 x + 3)

\frac{d}{d x} (\frac{2 x}{x})