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Beliebt Rechnen >

derivative 1/(x^6)

Lösung

ableitung von

\frac{1}{x ^{6}}

Lösung

- \frac{6}{x ^{7}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{6}})

Wende Exponentenregel an:

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

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

Wende die Potenzregel an:

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

= - 6 x^{- 6 - 1}

Vereinfache

- 6 x^{- 6 - 1} : - \frac{6}{x ^{7}}

= - \frac{6}{x ^{7}}

Graph

Beliebte Beispiele

derivative of cos^2(2x-x^2)

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

(\partial)/(\partial x)(cos(3x+4y))

\frac{\partial}{\partial x} (cos (3 x + 4 y))

fläche y=x,y=-x+3,y=0

a re a y = x, y = - x + 3, y = 0

integral of (sin^2(2x))

\int (sin^{2} (2 x)) d x

integral of 1/2 x+3

\int \frac{1}{2} x + 3 d x