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Beliebt Rechnen >

derivative f(x)=294x^5-120x^4+420x^2

Lösung

ableitung von

f (x) = 294 x^{5} - 120 x^{4} + 420 x^{2}

Lösung

1470 x^{4} - 480 x^{3} + 840 x

Schritte zur Lösung

\frac{d}{d x} (294 x^{5} - 120 x^{4} + 420 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (294 x^{5}) - \frac{d}{d x} (120 x^{4}) + \frac{d}{d x} (420 x^{2})

\frac{d}{d x} (294 x^{5}) = 1470 x^{4}

\frac{d}{d x} (120 x^{4}) = 480 x^{3}

\frac{d}{d x} (420 x^{2}) = 840 x

= 1470 x^{4} - 480 x^{3} + 840 x

Graph

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