derivative of 1+ln(x)

Lösung

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

\frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

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

= 0 + \frac{1}{x}

Vereinfache

= \frac{1}{x}

i = 1 \sum \infty 3 (\frac{1}{4})^{i - 1}

x \to 1 lim (\frac{in ( x )}{x - 1})

d er i v a t i v e y = x^{2} + 10 x

\frac{d y}{d x} = \frac{x ^{2} - 2 y}{x}, y (2) = 2

d er i v a t i v e 5 (2^{x})