derivative of sqrt(5x+11)

Lösung

\frac{d}{d x} (5 x + 11)

\frac{5}{2 5 x + 11}

Schritte zur Lösung

\frac{d}{d x} (5 x + 11)

Wende die Kettenregel an:

\frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

= \frac{1}{2 5 x + 11} \frac{d}{d x} (5 x + 11)

\frac{d}{d x} (5 x + 11) = 5

= \frac{1}{2 5 x + 11} \cdot 5

Vereinfache

\frac{1}{2 5 x + 11} \cdot 5 : \frac{5}{2 5 x + 11}

= \frac{5}{2 5 x + 11}