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Beliebt Rechnen >

(\partial)/(\partial x)(2x^3+xy^2)

Lösung

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

Lösung

6 x^{2} + y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2 x^{3}) = 6 x^{2}

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

= 6 x^{2} + y^{2}

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