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Beliebt Rechnen >

derivative of 9x^2+6x-2

Lösung

\frac{d}{d x} (9 x^{2} + 6 x - 2)

Lösung

18 x + 6

Schritte zur Lösung

\frac{d}{d x} (9 x^{2} + 6 x - 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (6 x) - \frac{d}{d x} (2)

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (2) = 0

= 18 x + 6 - 0

Vereinfache

= 18 x + 6

Graph

Beliebte Beispiele

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x \to 1 lim (\frac{x + 2}{1 - x})

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\frac{d}{d x} (x^{10} e^{x} + 10)

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derivative of (e^x/(5x^2+9))

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