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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(1+3x))

Lösung

\frac{\partial}{\partial x} (1 + 3 x)

Lösung

\frac{3}{2 1 + 3 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (1 + 3 x)

Wende die Kettenregel an:

\frac{1}{2 1 + 3 x} \frac{\partial}{\partial x} (1 + 3 x)

= \frac{1}{2 1 + 3 x} \frac{\partial}{\partial x} (1 + 3 x)

\frac{\partial}{\partial x} (1 + 3 x) = 3

= \frac{1}{2 1 + 3 x} \cdot 3

Vereinfache

\frac{1}{2 1 + 3 x} \cdot 3 : \frac{3}{2 1 + 3 x}

= \frac{3}{2 1 + 3 x}

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