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Beliebt Rechnen >

(\partial)/(\partial x)(4x^2+4y^3)

Lösung

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

Lösung

8 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (4 y^{3}) = 0

= 8 x + 0

Vereinfache

= 8 x

Beliebte Beispiele

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y^'+y=e^x,y(0)=6

y^{^{'}} + y = e^{x}, y (0) = 6

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