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Beliebt Rechnen >

derivative f(x)=-3x^3+2x^2-4x+7

Lösung

ableitung von

f (x) = - 3 x^{3} + 2 x^{2} - 4 x + 7

Lösung

- 9 x^{2} + 4 x - 4

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (2 x^{2}) = 4 x

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

\frac{d}{d x} (7) = 0

= - 9 x^{2} + 4 x - 4 + 0

Vereinfache

= - 9 x^{2} + 4 x - 4

Graph

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