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Beliebt Rechnen >

derivative of 6x^{70}

Lösung

\frac{d}{d x} (6 x^{70})

Lösung

420 x^{69}

Schritte zur Lösung

\frac{d}{d x} (6 x^{70})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (x^{70})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 \cdot 70 x^{70 - 1}

Vereinfache

= 420 x^{69}

Graph

Beliebte Beispiele

integral of 1/(5x+16)

\int \frac{1}{5 x + 16} d x

fläche y=9x^2,y=x^2+7

a re a y = 9 x^{2}, y = x^{2} + 7

limit as h approaches 0 of 2xh

h \to 0 lim (2 x h)

sum from n=5 to infinity of 1/(n^2)

n = 5 \sum \infty \frac{1}{n ^{2}}

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\int (\frac{1}{y} sin (\frac{x}{y}) + x) d x