de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dy)(1/(x-y))

Lösung

\frac{d}{d y} (\frac{1}{x - y})

Lösung

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

Schritte zur Lösung

\frac{d}{d y} (\frac{1}{x - y})

Behandle

x

als Konstante

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Beliebte Beispiele

integral of tanh(x/9)

\int tanh (\frac{x}{9}) d x

derivative f(x)=(x^3+2x-2)^4

d er i v a t i v e f (x) = (x^{3} + 2 x - 2)^{4}

3e^{3x}(dy)/(dx)=-9 x/(y^2)

3 e^{3 x} \frac{d y}{d x} = - 9 \frac{x}{y ^{2}}

limit as x approaches pi/2 of 7sec(x)-7tan(x)

x \to \frac{π}{2} lim (7 sec (x) - 7 tan (x))

derivative of arctan((x-1/(x+1)))

\frac{d}{d x} (arctan (\frac{x - 1}{x + 1}))