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Beliebt Rechnen >

derivative f(x)=x^7-x^3

Lösung

ableitung von

f (x) = x^{7} - x^{3}

Lösung

7 x^{6} - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{7} - x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{7}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 7 x^{6} - 3 x^{2}

Graph

Beliebte Beispiele

derivative y=sin(1/x)

d er i v a t i v e y = sin (\frac{1}{x})

integral of sin^6(3x)cos(3x)

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

integral from 1 to 4 of |x^2-2x-15|

\int_{1}^{4} x^{2} - 2 x - 15 d x

derivative 2xlog_{7}(sqrt(x))

d er i v a t i v e 2 x lo g_{7} (x)

limit as x approaches 3 of 12

x \to 3 lim (12)