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Beliebt Rechnen >

derivative of 2(3x^2+x-3^2)

Lösung

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

Lösung

4 (3 x^{2} + x - 3) (6 x + 1)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x^{2} + x - 3) = 6 x + 1

= 2 \cdot 2 (3 x^{2} + x - 3) (6 x + 1)

Vereinfache

= 4 (3 x^{2} + x - 3) (6 x + 1)

Graph

Beliebte Beispiele

integral of (x^2-4)/(x^2)

\int \frac{x ^{2} - 4}{x ^{2}} d x

limit as x approaches 1 of (x-2)/(x^2-4)

x \to 1 lim (\frac{x - 2}{x ^{2} - 4})

derivative y=(4x-9)/(2x+3),x=2

d er i v a t i v e y = \frac{4 x - 9}{2 x + 3}, x = 2

integral from 0 to 4 of xe^x

\int_{0}^{4} x e^{x} d x

(ln (x^{2} + 1))^{^{'}}