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Beliebt Rechnen >

derivative f(x)=sqrt(3x+7)

Lösung

ableitung von

f (x) = 3 x + 7

Lösung

\frac{3}{2 3 x + 7}

Schritte zur Lösung

\frac{d}{d x} (3 x + 7)

Wende die Kettenregel an:

\frac{1}{2 3 x + 7} \frac{d}{d x} (3 x + 7)

= \frac{1}{2 3 x + 7} \frac{d}{d x} (3 x + 7)

\frac{d}{d x} (3 x + 7) = 3

= \frac{1}{2 3 x + 7} \cdot 3

Vereinfache

\frac{1}{2 3 x + 7} \cdot 3 : \frac{3}{2 3 x + 7}

= \frac{3}{2 3 x + 7}

Graph

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