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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

- \frac{3}{( - 3 x ^{2} + 3 x - 2 ) ^{4}} \frac{d}{d x} (- 3 x^{2} + 3 x - 2)

= - \frac{3}{( - 3 x ^{2} + 3 x - 2 ) ^{4}} \frac{d}{d x} (- 3 x^{2} + 3 x - 2)

\frac{d}{d x} (- 3 x^{2} + 3 x - 2) = - 6 x + 3

= - \frac{3}{( - 3 x ^{2} + 3 x - 2 ) ^{4}} (- 6 x + 3)

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 ( - 6 x + 3 )}{( - 3 x ^{2} + 3 x - 2 ) ^{4}}

Graph

Beliebte Beispiele

integral of-2x^3(-5x^2-x+12)

\int - 2 x^{3} (- 5 x^{2} - x + 12) d x

(\partial)/(\partial z)(-2e^xcos(yz))

\frac{\partial}{\partial z} (- 2 e^{x} cos (yz))

integral of x^3(1+x^4)^3

\int x^{3} (1 + x^{4})^{3} d x

derivative of sin(x+2)

\frac{d}{d x} (sin (x + 2))

integral from-infinity to 0 of 1/(4-3x)

\int_{- \infty}^{0} \frac{1}{4 - 3 x} d x