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Beliebt Rechnen >

derivative of (2x^3-x^2+6x+1^3)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

derivative sqrt(x^2-9)

d er i v a t i v e x^{2} - 9

integral from 0 to 6 of sqrt(6x+64)

\int_{0}^{6} 6 x + 64 d x

integral of x/((x+1))

\int \frac{x}{( x + 1 )} d x

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t an g e n t f (x) = \frac{4}{x + 1}, at x = 6

integral of 1/(2y-1)

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