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Beliebt Rechnen >

derivative f(x)=5x^2-5x+9

Lösung

ableitung von

f (x) = 5 x^{2} - 5 x + 9

Lösung

10 x - 5

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - 5 x + 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (9)

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

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

\frac{d}{d x} (9) = 0

= 10 x - 5 + 0

Vereinfache

= 10 x - 5

Graph

Beliebte Beispiele

derivative of-9x^3+27x+7x-66

\frac{d}{d x} (- 9 x^{3} + 27 x + 7 x - 66)

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\int 5 tan^{3} (x) sec^{3} (x) d x

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\int_{1}^{4} \frac{1}{x} d x

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