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Beliebt Rechnen >

derivative of (x^8-1^3)

Lösung

\frac{d}{d x} ((x^{8} - 1)^{3})

Lösung

24 x^{7} (x^{8} - 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x^{8} - 1)^{3})

Wende die Kettenregel an:

3 (x^{8} - 1)^{2} \frac{d}{d x} (x^{8} - 1)

= 3 (x^{8} - 1)^{2} \frac{d}{d x} (x^{8} - 1)

\frac{d}{d x} (x^{8} - 1) = 8 x^{7}

= 3 (x^{8} - 1)^{2} \cdot 8 x^{7}

Vereinfache

= 24 x^{7} (x^{8} - 1)^{2}

Graph

Beliebte Beispiele

integral of cot^2(xcs)c^4x

\int cot^{2} (x cs) c^{4} x d x

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

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

derivative of (cos(y+2e^{-x}cos(x))/y)

\frac{d}{d x} (\frac{cos ( y ) + 2 e ^{- x} cos ( x )}{y})

tangent y=3xe^x,(0,0)

t an g e n t y = 3 x e^{x}, (0, 0)

y^{^{'}} = x y + x