derivative of ln(1+10x)

Lösung

\frac{d}{d x} (ln (1 + 10 x))

\frac{10}{1 + 10 x}

Schritte zur Lösung

\frac{d}{d x} (ln (1 + 10 x))

Wende die Kettenregel an:

\frac{1}{1 + 10 x} \frac{d}{d x} (1 + 10 x)

= \frac{1}{1 + 10 x} \frac{d}{d x} (1 + 10 x)

\frac{d}{d x} (1 + 10 x) = 10

= \frac{1}{1 + 10 x} \cdot 10

Vereinfache

\frac{1}{1 + 10 x} \cdot 10 : \frac{10}{1 + 10 x}

= \frac{10}{1 + 10 x}

\int \frac{1}{x + 1 + 4 x + 1} d x

x \to 4 + lim (2 x)

x \to 0 + lim (cot (x))

\int_{0}^{2} (2 x + 5) d x

(0^{2} e^{0 + 3})^{^{'}}