derivative 1/(2x-1)

Lösung

ableitung von

\frac{1}{2 x - 1}

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

x \to \infty + lim (e^{x} + 3)

d er i v a t i v e f (x) = (2 x + 3)^{6} \cdot (x - 2)^{4}

t an g e n t f (x) = \frac{x}{x - 2}, (3, 3)

y^{^{''}} = y^{^{'}}

\int \frac{8}{z z ^{2} + 2} d z