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Beliebt Rechnen >

derivative y=4x^3-10x^2

Lösung

ableitung von

y = 4 x^{3} - 10 x^{2}

Lösung

12 x^{2} - 20 x

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 10 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (10 x^{2})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (10 x^{2}) = 20 x

= 12 x^{2} - 20 x

Graph

Beliebte Beispiele

limit as x approaches 2-of (4x+1)/(x-2)

x \to 2 - lim (\frac{4 x + 1}{x - 2})

integral of x^2arccos(x)

\int x^{2} arccos (x) d x

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\int 6 sin^{6} (x) cos^{3} (x) d x

limit as x approaches 4 of 4/(x-4)

x \to 4 lim (\frac{4}{x - 4})

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\int sin^{2} (x^{2}) d x