derivative of sqrt(1+36x)

Lösung

\frac{d}{d x} (1 + 36 x)

\frac{18}{1 + 36 x}

Schritte zur Lösung

\frac{d}{d x} (1 + 36 x)

Wende die Kettenregel an:

\frac{1}{2 1 + 36 x} \frac{d}{d x} (1 + 36 x)

= \frac{1}{2 1 + 36 x} \frac{d}{d x} (1 + 36 x)

\frac{d}{d x} (1 + 36 x) = 36

= \frac{1}{2 1 + 36 x} \cdot 36

Vereinfache

\frac{1}{2 1 + 36 x} \cdot 36 : \frac{18}{1 + 36 x}

= \frac{18}{1 + 36 x}

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