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Beliebt Rechnen >

derivative x^4-6x^3

Lösung

ableitung von

x^{4} - 6 x^{3}

Lösung

4 x^{3} - 18 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 6 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (6 x^{3})

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

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

= 4 x^{3} - 18 x^{2}

Graph

Beliebte Beispiele

limit as x approaches-2-of 2x+1

x \to - 2 - lim (2 x + 1)

derivative of 2sin(8x)

\frac{d}{d x} (2 sin (8 x))

steigung x-sqrt(x)

s l o p e x - x

y^{^{'}} - y = 2 x e^{2 x}

f^'(x)=sqrt(x)(6+5x)

f^{^{'}} (x) = x (6 + 5 x)