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Beliebt Rechnen >

derivative of 1+6sqrt(x)

Lösung

\frac{d}{d x} (1 + 6 x)

Lösung

\frac{3}{x}

Schritte zur Lösung

\frac{d}{d x} (1 + 6 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (6 x)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (6 x) = \frac{3}{x}

= 0 + \frac{3}{x}

Vereinfache

= \frac{3}{x}

Graph

Beliebte Beispiele

d er i v a t i v e x - 2

derivative of (sqrt(x)/(x+y))

\frac{d}{d x} (\frac{x}{x + y})

derivative 2/(ln(x))

d er i v a t i v e \frac{2}{ln ( x )}

limit as x approaches 2 of (x^2+2)/(x-2)

x \to 2 lim (\frac{x ^{2} + 2}{x - 2})

integral from 0 to 2 of-2xsqrt(4-x^2)

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