derivative of e+ln(x)

Lösung

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

\frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d e}{d x} = 0

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

= 0 + \frac{1}{x}

Vereinfache

= \frac{1}{x}

x \to 0 lim (3 - 2^{x})

in v erse l a pl a ce \frac{( 2 s + 8 )}{s ^{2} + 6 s + 25}

\int \frac{2 e ^{x} - e ^{- x}}{2 e ^{x} + e ^{- x}} d x

\int \frac{18 x}{1 - x ^{4}} d x

in v erse l a pl a ce \frac{1}{s + 1}