derivative of 3ln(x+1)

Lösung

\frac{d}{d x} (3 ln (x + 1))

\frac{3}{x + 1}

Schritte zur Lösung

\frac{d}{d x} (3 ln (x + 1))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{3}{x + 1}

\frac{d}{d x} (35 x ln (13 x))

\frac{d}{d x} (6 x^{5} - 20 x^{4} + 20 x^{3} - 10 x + 4)

\int_{0}^{5} \frac{1}{x ^{\frac{18}{17}}} d x

x \to - \infty lim (1)

\frac{d}{d x} (\frac{1}{5} cos (5 x))