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Beliebt Rechnen >

derivative of x^4-2x^2-8

Lösung

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

Lösung

4 x^{3} - 4 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (8) = 0

= 4 x^{3} - 4 x - 0

Vereinfache

= 4 x^{3} - 4 x

Graph

Beliebte Beispiele

limit as x approaches 0 of (2x)/(3x)

x \to 0 lim (\frac{2 x}{3 x})

integral of x/(3x^2+4)

\int \frac{x}{3 x ^{2} + 4} d x

limit as x approaches+3 of 2x^2-3x+4

x \to + 3 lim (2 x^{2} - 3 x + 4)

integral of 1/(x^{5/3)}

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

derivative of (x+1(x^3+x-2))

\frac{d}{d x} ((x + 1) (x^{3} + x - 2))