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Beliebt Rechnen >

derivative of 2(x-2^2+1)

Lösung

\frac{d}{d x} (2 (x - 2)^{2} + 1)

Lösung

4 x - 8

Schritte zur Lösung

\frac{d}{d x} (2 (x - 2)^{2} + 1)

Vereinfache

2 (x - 2)^{2} + 1 : 2 x^{2} - 8 x + 9

= \frac{d}{d x} (2 x^{2} - 8 x + 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (8 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (8 x) = 8

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

= 4 x - 8 + 0

Vereinfache

= 4 x - 8

Graph

Beliebte Beispiele

integral of 1/(2x^3-3x^2)

\int \frac{1}{2 x ^{3} - 3 x ^{2}} d x

derivative x^2(3-x)

d er i v a t i v e x^{2} (3 - x)

derivative cy^{-6}

d er i v a t i v e c y^{- 6}

limit as x approaches 1 of x^3-2x^2+x-3

x \to 1 lim (x^{3} - 2 x^{2} + x - 3)

d er i v a t i v e x^{6}