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Beliebt Rechnen >

derivative of 2x^4-5x^3+x^2

Lösung

\frac{d}{d x} (2 x^{4} - 5 x^{3} + x^{2})

Lösung

8 x^{3} - 15 x^{2} + 2 x

Schritte zur Lösung

\frac{d}{d x} (2 x^{4} - 5 x^{3} + x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (x^{2})

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 8 x^{3} - 15 x^{2} + 2 x

Graph

Beliebte Beispiele

integral from-1 to 2 of 3x^2+4x

\int_{- 1}^{2} 3 x^{2} + 4 x d x

integral of-4x+12

\int - 4 x + 12 d x

y^{^{'}} = y^{2} x^{3}

fläche 3x^2+12,4x+4,[-3,3]

a re a 3 x^{2} + 12, 4 x + 4, [- 3, 3]

derivative 1/(1+x+x^2+x^3)

d er i v a t i v e \frac{1}{1 + x + x ^{2} + x ^{3}}