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Beliebt Rechnen >

derivative x^4+7x^2-x

Lösung

ableitung von

x^{4} + 7 x^{2} - x

Lösung

4 x^{3} + 14 x - 1

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 7 x^{2} - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (7 x^{2}) - \frac{d x}{d x}

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

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d x}{d x} = 1

= 4 x^{3} + 14 x - 1

Graph

Beliebte Beispiele

integral of 2x^3(3x^4-5)

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

fläche x=7y, 1/3 y=x, 1/7 y=x

a re a x = 7 y, \frac{1}{3} y = x, \frac{1}{7} y = x

derivative of ln(sqrt(1+sin^2(x)))

\frac{d}{d x} (ln (1 + sin^{2} (x)))

limit as x approaches-7 of (x^2-8)/(7-x)

x \to - 7 lim (\frac{x ^{2} - 8}{7 - x})

derivative of-cos(xsin(x))

\frac{d}{d x} (- cos (x) sin (x))