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Beliebt Rechnen >

derivative of 4x^4-7x^3+3

Lösung

\frac{d}{d x} (4 x^{4} - 7 x^{3} + 3)

Lösung

16 x^{3} - 21 x^{2}

Schritte zur Lösung

\frac{d}{d x} (4 x^{4} - 7 x^{3} + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{4}) - \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (3)

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

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

\frac{d}{d x} (3) = 0

= 16 x^{3} - 21 x^{2} + 0

Vereinfache

= 16 x^{3} - 21 x^{2}

Graph

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