derivative of 1/((1-2x))

Lösung

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

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

d er i v a t i v e e^{4 t}

\frac{d}{d x} (x^{2} \cdot e^{- 3 x})

(e^{t} x + 1) d t + (e^{t} - 1) d x = 0, x (1) = 1

x \to 1 lim (lo g_{\frac{1}{e}} (x))

l a pl a ce t r an s f or m t \cdot e^{5 t} sin (3 t)