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Beliebt Rechnen >

derivative of x^2-4x+5

Lösung

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

Lösung

2 x - 4

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 2 x - 4 + 0

Vereinfache

= 2 x - 4

Graph

Beliebte Beispiele

derivative of pi/4

\frac{d}{d x} (\frac{π}{4})

integral of 1/(x-10)

\int \frac{1}{x - 10} d x

integral of 2/(2x-1)

\int \frac{2}{2 x - 1} d x

derivative-(14)/(s^6)

d er i v a t i v e - \frac{14}{s ^{6}}

integral of 0.5sin(2x)

\int 0.5 sin (2 x) d x