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Beliebt Rechnen >

derivative of ln(1+x-x)

Lösung

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

Lösung

\frac{1}{1 + x} - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

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

Graph

Beliebte Beispiele

integral of 8we^{7w}

\int 8 w e^{7 w} d w

integral of (8-128x)/(sqrt(1-64x^2))

\int \frac{8 - 128 x}{1 - 64 x ^{2}} d x

integral of 4/(x^2-4)

\int \frac{4}{x ^{2} - 4} d x

integral of 12xe^{-x^2}

\int 12 x e^{- x^{2}} d x

integral of 7/(x^2+25)

\int \frac{7}{x ^{2} + 25} d x