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Beliebt Rechnen >

(\partial)/(\partial y)(x^2yz-xyz^3)

Lösung

\frac{\partial}{\partial y} (x^{2} yz - x y z^{3})

Lösung

x^{2} z - x z^{3}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} yz - x y z^{3})

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{2} yz) - \frac{\partial}{\partial y} (x y z^{3})

\frac{\partial}{\partial y} (x^{2} yz) = x^{2} z

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

= x^{2} z - x z^{3}

Beliebte Beispiele

derivative of (2x^7+5x^3-1/4)

integral from 0 to pi of (1+sin(x))

2y^{'''}+3y^{''}-23y^'-12y=0

integral of xsin(10x)