de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative ln(sqrt(x^2+1))+e^{-x^2}

Lösung

ableitung von

ln (x^{2} + 1) + e^{- x^{2}}

Lösung

\frac{x}{x ^{2} + 1} - 2 e^{- x^{2}} x

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} + 1) + e^{- x^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (ln (x^{2} + 1)) + \frac{d}{d x} (e^{- x^{2}})

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

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

= \frac{x}{x ^{2} + 1} - 2 e^{- x^{2}} x

Graph

Beliebte Beispiele

derivative (100)/x

d er i v a t i v e \frac{100}{x}

integral of (x^2)/((x+1)^3)

\int \frac{x ^{2}}{( x + 1 ) ^{3}} d x

laplacetransform 5y

l a pl a ce t r an s f or m 5 y

derivative of (dy/(dx))+y=7sin(x)

\frac{d}{d x} (\frac{d y}{d x}) + y = 7 sin (x)

integral of (0.8(3+ln(u))^3)/u

\int \frac{0.8 ( 3 + ln ( u ) ) ^{3}}{u} d u