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Beliebt Rechnen >

derivative (x^3+1)^5

Lösung

ableitung von

(x^{3} + 1)^{5}

Lösung

15 x^{2} (x^{3} + 1)^{4}

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 1)^{5})

Wende die Kettenregel an:

5 (x^{3} + 1)^{4} \frac{d}{d x} (x^{3} + 1)

= 5 (x^{3} + 1)^{4} \frac{d}{d x} (x^{3} + 1)

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

= 5 (x^{3} + 1)^{4} \cdot 3 x^{2}

Vereinfache

= 15 x^{2} (x^{3} + 1)^{4}

Graph

Beliebte Beispiele

integral of 4x^3+9x^2y^2+3

\int 4 x^{3} + 9 x^{2} y^{2} + 3 d x

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n = 1 \sum \infty 7 - 6 (0.8)^{n}

integral of (1.3)^x

\int (1.3)^{x} d x

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\int e^{2 x} + 1 d x

limit as x approaches 0+of tan^x(4x)

x \to 0 + lim (tan^{x} (4 x))