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Beliebt Rechnen >

(\partial)/(\partial y)(x^4+8xy^7)

Lösung

\frac{\partial}{\partial y} (x^{4} + 8 x y^{7})

Lösung

56 x y^{6}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{4} + 8 x y^{7})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{4}) + \frac{\partial}{\partial y} (8 x y^{7})

\frac{\partial}{\partial y} (x^{4}) = 0

\frac{\partial}{\partial y} (8 x y^{7}) = 56 x y^{6}

= 0 + 56 x y^{6}

Vereinfache

= 56 x y^{6}

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