(\partial)/(\partial y)(27xy^2+8y^3)

Lösung

\frac{\partial}{\partial y} (27 x y^{2} + 8 y^{3})

54 x y + 24 y^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (27 x y^{2} + 8 y^{3})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (27 x y^{2}) + \frac{\partial}{\partial y} (8 y^{3})

\frac{\partial}{\partial y} (27 x y^{2}) = 54 x y

\frac{\partial}{\partial y} (8 y^{3}) = 24 y^{2}

= 54 x y + 24 y^{2}

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