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Beliebt Rechnen >

(\partial)/(\partial x)(x^{-3})

Lösung

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

Lösung

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

Schritte zur Lösung

\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

limit as x approaches-1 of 4x^2-8x+3

x \to - 1 lim (4 x^{2} - 8 x + 3)

integral of e^{-x}cos(3x)

\int e^{- x} cos (3 x) d x

7t*(dy)/(dt)-y=sqrt(t)

7 t \cdot \frac{d y}{d t} - y = t

limit as x approaches 4+of e^{4-x}

x \to 4 + lim (e^{4 - x})

f(x)=arcsin(6x)

f (x) = arcsin (6 x)