derivative 1/(x-5)

Lösung

ableitung von

\frac{1}{x - 5}

- \frac{1}{( x - 5 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x - 5})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x - 5)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( x - 5 ) ^{2}} \frac{d}{d x} (x - 5)

= - \frac{1}{( x - 5 ) ^{2}} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= - \frac{1}{( x - 5 ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( x - 5 ) ^{2}}

\frac{d}{d x} ((A x^{2} + B x) \cdot sin (x))

n = 0 \sum \infty \frac{n ^{n}}{n !}

t an g e n t f (x) = \frac{- 2}{2 x - 14}

x \to 1 - lim (\frac{1}{ln ( x )})

t an g e n t y = 9 - 6 x, at x = - 1