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Beliebt Rechnen >

(\partial)/(\partial x)(6x^2e^y-7xy^3)

Lösung

\frac{\partial}{\partial x} (6 x^{2} e^{y} - 7 x y^{3})

Lösung

12 e^{y} x - 7 y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x^{2} e^{y} - 7 x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x^{2} e^{y}) - \frac{\partial}{\partial x} (7 x y^{3})

\frac{\partial}{\partial x} (6 x^{2} e^{y}) = 12 e^{y} x

\frac{\partial}{\partial x} (7 x y^{3}) = 7 y^{3}

= 12 e^{y} x - 7 y^{3}

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