derivative f(x)=sqrt(7x+1)

Lösung

ableitung von

f (x) = 7 x + 1

\frac{7}{2 7 x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

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