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Beliebt Rechnen >

derivative f(x)=-4x^2+7x-5

Lösung

ableitung von

f (x) = - 4 x^{2} + 7 x - 5

Lösung

- 8 x + 7

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

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

\frac{d}{d x} (5) = 0

= - 8 x + 7 - 0

Vereinfache

= - 8 x + 7

Graph

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