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Beliebt Rechnen >

derivative of (12/(x+2)-3)

Lösung

\frac{d}{d x} (\frac{12}{x + 2} - 3)

Lösung

- \frac{12}{( x + 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{12}{x + 2} - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{12}{x + 2}) - \frac{d}{d x} (3)

\frac{d}{d x} (\frac{12}{x + 2}) = - \frac{12}{( x + 2 ) ^{2}}

\frac{d}{d x} (3) = 0

= - \frac{12}{( x + 2 ) ^{2}} - 0

Vereinfache

= - \frac{12}{( x + 2 ) ^{2}}

Graph

Beliebte Beispiele

derivative of (x^2-4x/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 4 x}{x + 1})

integral of-(x^2+11x+28)/((x+2)^2)

\int - \frac{x ^{2} + 11 x + 28}{( x + 2 ) ^{2}} d x

derivative of 1/(x^2+5)

\frac{d}{d x} (\frac{1}{x ^{2} + 5})

derivative f(x)=-16t^2

d er i v a t i v e f (x) = - 16 t^{2}

inverselaplace (s-1)/(2(s^2+1))

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