derivative f(x)=sqrt(6x+3)

Lösung

ableitung von

f (x) = 6 x + 3

\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}

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