derivative 1/(x-8)

Lösung

ableitung von

\frac{1}{x - 8}

- \frac{1}{( x - 8 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x - 8})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x - 8)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

= - \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= - \frac{1}{( x - 8 ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( x - 8 ) ^{2}}

\int \frac{6 x ^{3} + 2 x ^{2} - 45 x - 15}{x ^{2} - 9} d x

d er i v a t i v e 6 - x

n = 0 \sum \infty \frac{n ^{2}}{2 ^{n}}

\frac{d}{d x} (x sin (\frac{6}{x}))

a re a y = \frac{x ^{2}}{2} - 3, y = - \frac{x ^{2}}{2} + 2 x