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Beliebt Rechnen >

derivative of (2x-3/(2x+5))

Lösung

\frac{d}{d x} (\frac{2 x - 3}{2 x + 5})

Lösung

\frac{16}{( 2 x + 5 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{2 x - 3}{2 x + 5})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 2 x - 3 ) ( 2 x + 5 ) - \frac{d}{d x} ( 2 x + 5 ) ( 2 x - 3 )}{( 2 x + 5 ) ^{2}}

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

\frac{d}{d x} (2 x + 5) = 2

= \frac{2 ( 2 x + 5 ) - 2 ( 2 x - 3 )}{( 2 x + 5 ) ^{2}}

Multipliziere aus

2 (2 x + 5) - 2 (2 x - 3) : 16

= \frac{16}{( 2 x + 5 ) ^{2}}

Graph

Beliebte Beispiele

integral of (x-3)*cos(x)

\int (x - 3) \cdot cos (x) d x

integral of (5r^2)/(r+3)

\int \frac{5 r ^{2}}{r + 3} d r

derivative of x^2ln(5x)

\frac{d}{d x} (x^{2} ln (5 x))

derivative (x-2)^2

d er i v a t i v e (x - 2)^{2}

faktorisieren 7p^3+4p

f a c t or 7 p^{3} + 4 p