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Beliebt Rechnen >

derivative f(x)=2x^2+3x-9

Lösung

ableitung von

f (x) = 2 x^{2} + 3 x - 9

Lösung

4 x + 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 4 x + 3 - 0

Vereinfache

= 4 x + 3

Graph

Beliebte Beispiele

integral of (ln(x^8))/x

\int \frac{ln ( x ^{8} )}{x} d x

derivative 1/(3x-1)

d er i v a t i v e \frac{1}{3 x - 1}

integral of (10x)/(2+5x^2)

\int \frac{10 x}{2 + 5 x ^{2}} d x

limit as x approaches-1 of (x+1)/(x-1)

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

normal y=x^3+1,(1,2)

n or ma l y = x^{3} + 1, (1, 2)