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Beliebt Rechnen >

(\partial)/(\partial x)(1/(x^3))

Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{3}})

Lösung

- \frac{3}{x ^{4}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{3}})

Wende Exponentenregel an:

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

= \frac{\partial}{\partial x} (x^{- 3})

Wende die Potenzregel an:

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

= - 3 x^{- 3 - 1}

Vereinfache

- 3 x^{- 3 - 1} : - \frac{3}{x ^{4}}

= - \frac{3}{x ^{4}}

Beliebte Beispiele

derivative of 5^{cos(x})

\frac{d}{d x} (5^{c o s (x)})

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

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

limit as x approaches 8/9 of x^4

x \to \frac{8}{9} lim (x^{4})

f (t) = 5 cos (t)

(dy)/(dx)=8x(6y+5)^{1/2}

\frac{d y}{d x} = 8 x (6 y + 5)^{\frac{1}{2}}