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Beliebt Rechnen >

derivative f(x)=4x^4-x^6

Lösung

ableitung von

f (x) = 4 x^{4} - x^{6}

Lösung

16 x^{3} - 6 x^{5}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (x^{6}) = 6 x^{5}

= 16 x^{3} - 6 x^{5}

Graph

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