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Beliebt Rechnen >

(\partial)/(\partial v)((u^2v-v^3)^5)

Lösung

\frac{\partial}{\partial v} ((u^{2} v - v^{3})^{5})

Lösung

5 (u^{2} v - v^{3})^{4} (u^{2} - 3 v^{2})

Schritte zur Lösung

\frac{\partial}{\partial v} ((u^{2} v - v^{3})^{5})

Behandle

u

als Konstante

Wende die Kettenregel an:

5 (u^{2} v - v^{3})^{4} \frac{\partial}{\partial v} (u^{2} v - v^{3})

= 5 (u^{2} v - v^{3})^{4} \frac{\partial}{\partial v} (u^{2} v - v^{3})

\frac{\partial}{\partial v} (u^{2} v - v^{3}) = u^{2} - 3 v^{2}

= 5 (u^{2} v - v^{3})^{4} (u^{2} - 3 v^{2})

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