derivative 7x^3+5x^2+4x

Lösung

ableitung von

7 x^{3} + 5 x^{2} + 4 x

21 x^{2} + 10 x + 4

Schritte zur Lösung

\frac{d}{d x} (7 x^{3} + 5 x^{2} + 4 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (4 x)

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 21 x^{2} + 10 x + 4

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