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

Lösung

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

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

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)^{- 1})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - 2) = 1

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

Vereinfache

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

\int x^{3} x^{4} + 6 d x

n = 2 \sum \infty \frac{2}{n ^{2} - n}

\frac{d}{d x} (a + \frac{b}{r ( x ) ( x ) ^{2}})^{3}

\int_{0}^{2} \frac{1}{x ^{2} + x - 6} d x

x \to 11 lim (10)