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Beliebt Rechnen >

derivative of sqrt(6x+3)

Lösung

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

Lösung

\frac{3}{6 x + 3}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 6 x + 3} \frac{d}{d x} (6 x + 3)

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

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

= \frac{1}{2 6 x + 3} \cdot 6

Vereinfache

\frac{1}{2 6 x + 3} \cdot 6 : \frac{3}{6 x + 3}

= \frac{3}{6 x + 3}

Graph

Beliebte Beispiele

limit as x approaches 3 of 2x^2-4x+5

x \to 3 lim (2 x^{2} - 4 x + 5)

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\frac{d}{d x} (I n (x + 1))

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derivative of e^{2x}cos(2x)

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