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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

- \frac{3}{( x - 1 ) ^{4}} \frac{d}{d x} (x - 1)

= - \frac{3}{( x - 1 ) ^{4}} \frac{d}{d x} (x - 1)

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

= - \frac{3}{( x - 1 ) ^{4}} \cdot 1

Vereinfache

= - \frac{3}{( x - 1 ) ^{4}}

Graph

Beliebte Beispiele

fläche f(x)=x^2-4,y=0,x=-4,x=3

a re a f (x) = x^{2} - 4, y = 0, x = - 4, x = 3

tangent y=x^2-6,(4,10)

t an g e n t y = x^{2} - 6, (4, 10)

tangent 5x^2+xy+5y^2=11,(1,1)

t an g e n t 5 x^{2} + x y + 5 y^{2} = 11, (1, 1)

integral of sqrt(-4+9s)

\int - 4 + 9 s d s

integral of 3x^2e^{4x}

\int 3 x^{2} e^{4 x} d x