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Beliebt Rechnen >

derivative of x^2+2x+6

Lösung

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

Lösung

2 x + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (6) = 0

= 2 x + 2 + 0

Vereinfache

= 2 x + 2

Graph

Beliebte Beispiele

integral from 0 to 1 of (27)/(4y-1)

\int_{0}^{1} \frac{27}{4 y - 1} d y

sum from n=1 to infinity of 10^nx^nn!

n = 1 \sum \infty 1 0^{n} x^{n} n!

derivative 2sqrt(x)+5

d er i v a t i v e 2 x + 5

slopeintercept (4)(8.6)

s l o p e in t erce pt (4) (8.6)

derivative f(x)=(4x+1)

d er i v a t i v e f (x) = (4 x + 1)