derivative 1/((x-1))

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

\int (x^{2} + 2 x) e^{x^{3} + 3 x^{2} - 1} d x

t an g e n t f (x) = (x - 1)^{2} + 1, at x = - 1

a re a f (x) = - 10 x + 5, (1, 2)

\int x^{2} 4 x^{2} + 1 d x

x \to 3 lim (\frac{x ^{2}}{x})