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Beliebt Rechnen >

derivative of (2x-3/(3x+4))

Lösung

\frac{d}{d x} (\frac{2 x - 3}{3 x + 4})

Lösung

\frac{17}{( 3 x + 4 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{2 x - 3}{3 x + 4})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 2 x - 3 ) ( 3 x + 4 ) - \frac{d}{d x} ( 3 x + 4 ) ( 2 x - 3 )}{( 3 x + 4 ) ^{2}}

\frac{d}{d x} (2 x - 3) = 2

\frac{d}{d x} (3 x + 4) = 3

= \frac{2 ( 3 x + 4 ) - 3 ( 2 x - 3 )}{( 3 x + 4 ) ^{2}}

Multipliziere aus

2 (3 x + 4) - 3 (2 x - 3) : 17

= \frac{17}{( 3 x + 4 ) ^{2}}

Graph

Beliebte Beispiele

derivative x^2+64

d er i v a t i v e x^{2} + 64

fläche x=y^2-10,x=3y

a re a x = y^{2} - 10, x = 3 y

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d er i v a t i v e c y^{- 2}

derivative of 1/(sqrt(25-x^2))

\frac{d}{d x} (\frac{1}{25 - x ^{2}})

integral of x^2e^{kx}

\int x^{2} e^{k x} d x