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Beliebt Rechnen >

(\partial)/(\partial x)(1/(x^2))

Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Lösung

- \frac{2}{x ^{3}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{x ^{2}})

Wende Exponentenregel an:

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

= \frac{\partial}{\partial x} (x^{- 2})

Wende die Potenzregel an:

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

= - 2 x^{- 2 - 1}

Vereinfache

- 2 x^{- 2 - 1} : - \frac{2}{x ^{3}}

= - \frac{2}{x ^{3}}

Beliebte Beispiele

inverselaplace 2/((-2s+10))

in v erse l a pl a ce \frac{2}{( - 2 s + 10 )}

derivative of {f}(x(sqrt(x)))

\frac{d}{d x} (f (x) (x))

derivative of 3x^2-2x+7

\frac{d}{d x} (3 x^{2} - 2 x + 7)

limit as x approaches 2 of (x+2)^6(3x^2)

x \to 2 lim ((x + 2)^{6} (3 x^{2}))

y^{''}+9y=t^2e^3t+6

y^{^{''}} + 9 y = t^{2} e^{3} t + 6