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Beliebt Rechnen >

derivative (1/(1-2x))^3

Lösung

ableitung von

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

Lösung

\frac{6}{( 1 - 2 x ) ^{4}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

3 (\frac{1}{1 - 2 x})^{2} \frac{2}{( 1 - 2 x ) ^{2}} : \frac{6}{( 1 - 2 x ) ^{4}}

= \frac{6}{( 1 - 2 x ) ^{4}}

Graph

Beliebte Beispiele

integral of (x^3-1)/(x^3+x)

\int \frac{x ^{3} - 1}{x ^{3} + x} d x

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

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

derivative of-x(2x-y^3)

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

integral of (4+x)

\int (4 + x) d x

taylor e^{1/θ}

t a y l or e^{\frac{1}{θ}}