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Beliebt Rechnen >

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

Lösung

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

Lösung

4 x^{3}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} + 0

Vereinfache

= 4 x^{3}

Beliebte Beispiele

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n = 1 \sum \infty \frac{- 9 ^{n}}{n ^{4}}

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\int \frac{1}{x ^{2} + 169} d x