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Beliebt Rechnen >

derivative f(x)=1-1/(x+2)

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - (- \frac{1}{( x + 2 ) ^{2}})

Vereinfache

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

Graph

Beliebte Beispiele

tangent-3/2 x^2+3x+3

t an g e n t - \frac{3}{2} x^{2} + 3 x + 3

integral of 1/r

\int \frac{1}{r} d r

derivative of (x^2/(9+2x))

\frac{d}{d x} (\frac{x ^{2}}{9 + 2 x})

tangent x^2+2xy-y^2+x=12,(3,6)

t an g e n t x^{2} + 2 x y - y^{2} + x = 12, (3, 6)

inverselaplace 3/s+8 1/(s(s+1))

in v erse l a pl a ce \frac{3}{s} + 8 \frac{1}{s ( s + 1 )}