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Beliebt Rechnen >

derivative of (1-x^{-2})

Lösung

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

Lösung

\frac{2}{( 1 - x ) ^{3}}

Schritte zur Lösung

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

Wende die Kettenregel an:

- \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

= - \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

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

= - \frac{2}{( 1 - x ) ^{3}} (- 1)

Vereinfache

= \frac{2}{( 1 - x ) ^{3}}

Graph

Beliebte Beispiele

y^{^{'}} = \frac{y}{x} + 1

y^{'''}+2y^{''}-5y^'-6y=0

y^{^{'''}} + 2 y^{^{''}} - 5 y^{^{'}} - 6 y = 0

integral from 0 to pi of 16sin(x)

\int_{0}^{π} 16 sin (x) d x

y^{''}-y^'+20y=0

y^{^{''}} - y^{^{'}} + 20 y = 0

limit as x approaches 3+of 5/(x-3)

x \to 3 + lim (\frac{5}{x - 3})