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Beliebt Rechnen >

derivative of 1/((2-x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

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

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

x^2+y^2+2xyy^'=0

x^{2} + y^{2} + 2 x y y^{^{'}} = 0

integral of (x+1)e^{-2x}

\int (x + 1) e^{- 2 x} d x

derivative f(x)=(x^2-2x-3)/x

d er i v a t i v e f (x) = \frac{x ^{2} - 2 x - 3}{x}

(\partial)/(\partial x)(3x^2-12y)

\frac{\partial}{\partial x} (3 x^{2} - 12 y)