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Beliebt Rechnen >

derivative y=x^3+7x^2-4

Lösung

ableitung von

y = x^{3} + 7 x^{2} - 4

Lösung

3 x^{2} + 14 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (7 x^{2}) = 14 x

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

= 3 x^{2} + 14 x - 0

Vereinfache

= 3 x^{2} + 14 x

Graph

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