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Beliebt Rechnen >

derivative (9-2x^3)^3

Lösung

ableitung von

(9 - 2 x^{3})^{3}

Lösung

- 18 x^{2} (9 - 2 x^{3})^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (9 - 2 x^{3}) = - 6 x^{2}

= 3 (9 - 2 x^{3})^{2} (- 6 x^{2})

Vereinfache

= - 18 x^{2} (9 - 2 x^{3})^{2}

Graph

Beliebte Beispiele

derivative of x^r

vereinfachen 2cos(x^3)-2/x

normal y=4x-1,(1,-4)

(\partial)/(\partial x)(4xsin(xy))

(\partial)/(\partial x)(3x^2+xy+y^2-8)