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Beliebt Rechnen >

(\partial)/(\partial y)(x^4y-3x^5y^2)

Lösung

\frac{\partial}{\partial y} (x^{4} y - 3 x^{5} y^{2})

Lösung

x^{4} - 6 x^{5} y

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{4} y - 3 x^{5} y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{4} y) - \frac{\partial}{\partial y} (3 x^{5} y^{2})

\frac{\partial}{\partial y} (x^{4} y) = x^{4}

\frac{\partial}{\partial y} (3 x^{5} y^{2}) = 6 x^{5} y

= x^{4} - 6 x^{5} y

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