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Beliebt Rechnen >

(\partial)/(\partial y)(7x+8y^2)

Lösung

\frac{\partial}{\partial y} (7 x + 8 y^{2})

Lösung

16 y

Schritte zur Lösung

\frac{\partial}{\partial y} (7 x + 8 y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (7 x) + \frac{\partial}{\partial y} (8 y^{2})

\frac{\partial}{\partial y} (7 x) = 0

\frac{\partial}{\partial y} (8 y^{2}) = 16 y

= 0 + 16 y

Vereinfache

= 16 y

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