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Beliebt Rechnen >

derivative f(x)=x^4-4x^2+4

Lösung

ableitung von

f (x) = x^{4} - 4 x^{2} + 4

Lösung

4 x^{3} - 8 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (4) = 0

= 4 x^{3} - 8 x + 0

Vereinfache

= 4 x^{3} - 8 x

Graph

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f(x)=sqrt(x^2-4)

f (x) = x^{2} - 4