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Beliebt Rechnen >

derivative of log_{e}(x+1)

Lösung

\frac{d}{d x} (lo g_{e} (x + 1))

Lösung

\frac{1}{x + 1}

Schritte zur Lösung

\frac{d}{d x} (lo g_{e} (x + 1))

Vereinfache

lo g_{e} (x + 1) : ln (x + 1)

= \frac{d}{d x} (ln (x + 1))

Wende die Kettenregel an:

\frac{1}{x + 1} \frac{d}{d x} (x + 1)

= \frac{1}{x + 1} \frac{d}{d x} (x + 1)

\frac{d}{d x} (x + 1) = 1

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

Vereinfache

= \frac{1}{x + 1}

Graph

Beliebte Beispiele

integral of 1/(cos(θ)-1)

y^{'''}-9y^{''}+15y^'+25y=0

(\partial)/(\partial x)(x/v)

limit as x approaches 8+of (|x-8|)/(x-8)

derivative of (5x^3-7/x)