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Beliebt Rechnen >

(\partial)/(\partial y)(4x^3y^2-1)

Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{2} - 1)

Lösung

8 x^{3} y

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{2} - 1)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (4 x^{3} y^{2}) - \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (4 x^{3} y^{2}) = 8 x^{3} y

\frac{\partial}{\partial y} (1) = 0

= 8 x^{3} y - 0

Vereinfache

= 8 x^{3} y

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