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Beliebt Rechnen >

(\partial)/(\partial x)(x^3+e^y)

Lösung

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

Lösung

3 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x^{2} + 0

Vereinfache

= 3 x^{2}

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