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Beliebt Rechnen >

derivative (x^3-2)^2

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of sqrt(x)-6x

\frac{d}{d x} (x - 6 x)

limit as x approaches 1 of x^3

x \to 1 lim (x^{3})

limit as x approaches+3 of 5/(x^2-9)

x \to + 3 lim (\frac{5}{x ^{2} - 9})

(dy)/(dt)=20-y/(230+16t)

\frac{d y}{d t} = 20 - \frac{y}{230 + 16 t}

(dy)/(dx)=e^x-6x^2

\frac{d y}{d x} = e^{x} - 6 x^{2}