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Beliebt Rechnen >

d/(dt)(1/(1-t))

Lösung

\frac{d}{d t} (\frac{1}{1 - t})

Lösung

\frac{1}{( 1 - t ) ^{2}}

Schritte zur Lösung

\frac{d}{d t} (\frac{1}{1 - t})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d t} ((1 - t)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( 1 - t ) ^{2}} \frac{d}{d t} (1 - t)

= - \frac{1}{( 1 - t ) ^{2}} \frac{d}{d t} (1 - t)

\frac{d}{d t} (1 - t) = - 1

= - \frac{1}{( 1 - t ) ^{2}} (- 1)

Vereinfache

= \frac{1}{( 1 - t ) ^{2}}

Graph

Beliebte Beispiele

integral from 0 to 2 of (x+2)

\int_{0}^{2} (x + 2) d x

fläche y=2-x^2,y=10-6x

a re a y = 2 - x^{2}, y = 10 - 6 x

integral from 0 to 1 of-(10y)/(e^{2y)}

\int_{0}^{1} - \frac{10 y}{e ^{2 y}} d y

integral of (sqrt(81x^2-1))/x

\int \frac{81 x ^{2} - 1}{x} d x

integral of x^2-3x+5

\int x^{2} - 3 x + 5 d x