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Beliebt Rechnen >

derivative of 4x^2-x^3

Lösung

\frac{d}{d x} (4 x^{2} - x^{3})

Lösung

8 x - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} - x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 8 x - 3 x^{2}

Graph

Beliebte Beispiele

integral of 6x^{-3}

\int 6 x^{- 3} d x

integral of (x^2+1)x

\int (x^{2} + 1) x d x

derivative y=(2x^3+7)^2

d er i v a t i v e y = (2 x^{3} + 7)^{2}

fläche x^3,x^{1/3},[0,2]

a re a x^{3}, x^{\frac{1}{3}}, [0, 2]

derivative of (x-1/(x+3))

\frac{d}{d x} (\frac{x - 1}{x + 3})