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Beliebt Rechnen >

derivative of x/(1-2x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d x}{d x} = 1

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of x^3sqrt(x^2+15)

\int x^{3} x^{2} + 15 d x

sum from n=1 to infinity of 1/(2^n(n+1))

n = 1 \sum \infty \frac{1}{2 ^{n} ( n + 1 )}

limit as x approaches 9 of (4x)/(x-9)

x \to 9 lim (\frac{4 x}{x - 9})

y^'*(x-1)+y*(x-2)=0

y^{^{'}} \cdot (x - 1) + y \cdot (x - 2) = 0

inverselaplace 1/((s+2)(s+3))

in v erse l a pl a ce \frac{1}{( s + 2 ) ( s + 3 )}