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Beliebt Rechnen >

derivative of (x+(x^2-4^3)^{10})

Lösung

\frac{d}{d x} ((x + (x^{2} - 4)^{3})^{10})

Lösung

10 (x + (x^{2} - 4)^{3})^{9} (1 + 6 x (x^{2} - 4)^{2})

Schritte zur Lösung

\frac{d}{d x} ((x + (x^{2} - 4)^{3})^{10})

Wende die Kettenregel an:

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

= 10 (x + (x^{2} - 4)^{3})^{9} \frac{d}{d x} (x + (x^{2} - 4)^{3})

\frac{d}{d x} (x + (x^{2} - 4)^{3}) = 1 + 6 x (x^{2} - 4)^{2}

= 10 (x + (x^{2} - 4)^{3})^{9} (1 + 6 x (x^{2} - 4)^{2})

Graph

Beliebte Beispiele

limit as x approaches 0+of x/(-4x^3-8x)

x \to 0 + lim (\frac{x}{- 4 x ^{3} - 8 x})

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\int 5 x + 4 y d x

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\frac{d}{d x} ((ln (x + 4))^{2})

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