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Beliebt Rechnen >

derivative f(x)=(3x^2-1)^2

Lösung

ableitung von

f (x) = (3 x^{2} - 1)^{2}

Lösung

12 x (3 x^{2} - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 x (3 x^{2} - 1)

Graph

Beliebte Beispiele

fläche 2sqrt(x),y= 1/3 x

a re a 2 x, y = \frac{1}{3} x

derivative of x^3+3x^2-9x+4

\frac{d}{d x} (x^{3} + 3 x^{2} - 9 x + 4)

limit as x approaches 2 of sqrt(kx)

x \to 2 lim (k x)

integral of sqrt(9-y^2)

\int 9 - y^{2} d y

fläche sin(x),cos(x),-pi/(18), 9/4

a re a sin (x), cos (x), - \frac{π}{18}, \frac{9}{4}