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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

- \frac{2}{( x - y ) ^{3}} \frac{\partial}{\partial x} (x - y)

= - \frac{2}{( x - y ) ^{3}} \frac{\partial}{\partial x} (x - y)

\frac{\partial}{\partial x} (x - y) = 1

= - \frac{2}{( x - y ) ^{3}} \cdot 1

Vereinfache

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

Beliebte Beispiele

derivative (10x^3-6x^2+3)/(4x^2-6x+3)

d er i v a t i v e \frac{10 x ^{3} - 6 x ^{2} + 3}{4 x ^{2} - 6 x + 3}

limit as x approaches infinity of-1/3 ce^{-3(x)}

x \to \infty lim (- \frac{1}{3} c e^{- 3 (x)})

integral of (2/x-4e^x)

\int (\frac{2}{x} - 4 e^{x}) d x

derivative of (1/(x^2)dx)

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

fläche sqrt(4x),x^2

a re a 4 x, x^{2}