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Beliebt Rechnen >

derivative of x+1/(x+2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Graph

Beliebte Beispiele

derivative f(x)=sqrt(x)(x+3)

d er i v a t i v e f (x) = x (x + 3)

derivative of sqrt(6-3x)

\frac{d}{d x} (6 - 3 x)

y^'=3y+7,y(0)=4

y^{^{'}} = 3 y + 7, y (0) = 4

laplacetransform t^2+2

l a pl a ce t r an s f or m t^{2} + 2

integral of 7xe^{4x}

\int 7 x e^{4 x} d x