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Beliebt Rechnen >

derivative f(x)=x^3+x^2-2x

Lösung

ableitung von

f (x) = x^{3} + x^{2} - 2 x

Lösung

3 x^{2} + 2 x - 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

= 3 x^{2} + 2 x - 2

Graph

Beliebte Beispiele

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x \to 2 lim (\frac{2 x + 1}{x + 2})

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\frac{d}{d x} (16 e^{2 x} x + 32 e^{2 x})

(dy)/(dx)=0.08y-100000

\frac{d y}{d x} = 0.08 y - 100000

derivative f(x)=sqrt(7x+2)

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integral of 5/(3x+1)

\int \frac{5}{3 x + 1} d x