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Beliebt Rechnen >

(\partial)/(\partial x)(ln(5x))

Lösung

\frac{\partial}{\partial x} (ln (5 x))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (5 x))

Wende die Kettenregel an:

\frac{1}{5 x} \frac{\partial}{\partial x} (5 x)

= \frac{1}{5 x} \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= \frac{1}{5 x} \cdot 5

Vereinfache

\frac{1}{5 x} \cdot 5 : \frac{1}{x}

= \frac{1}{x}

Beliebte Beispiele

derivative of (x^3-4arcsin(x))

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\frac{d y}{d x} + x e^{x + y} = 0

integral of (22)/(xln(7x))

\int \frac{22}{x ln ( 7 x )} d x

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\frac{d}{d x} (x - 2 y)

integral of xsin^3(x^2)cos^2(x^2)

\int x sin^{3} (x^{2}) cos^{2} (x^{2}) d x