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Beliebt Rechnen >

(\partial)/(\partial x)((2-sqrt(x))^6)

Lösung

\frac{\partial}{\partial x} ((2 - x)^{6})

Lösung

- \frac{3 ( - x + 2 ) ^{5}}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} ((2 - x)^{6})

Wende die Kettenregel an:

6 (2 - x)^{5} \frac{\partial}{\partial x} (2 - x)

= 6 (2 - x)^{5} \frac{\partial}{\partial x} (2 - x)

\frac{\partial}{\partial x} (2 - x) = - \frac{1}{2 x}

= 6 (2 - x)^{5} (- \frac{1}{2 x})

Vereinfache

6 (2 - x)^{5} (- \frac{1}{2 x}) : - \frac{3 ( - x + 2 ) ^{5}}{x}

= - \frac{3 ( - x + 2 ) ^{5}}{x}

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