de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of e^{-x^2}+1

Lösung

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

Lösung

- 2 e^{- x^{2}} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 e^{- x^{2}} x + 0

Vereinfache

= - 2 e^{- x^{2}} x

Graph

Beliebte Beispiele

(\partial)/(\partial x)(z^{x^y})

\frac{\partial}{\partial x} (z^{x^{y}})

tangent f(x)= x/(x^2+81)

t an g e n t f (x) = \frac{x}{x ^{2} + 81}

fläche x=2y^2-5,x=y^2+4

a re a x = 2 y^{2} - 5, x = y^{2} + 4

derivative y=2x-5

d er i v a t i v e y = 2 x - 5

integral of x^{-12}

\int x^{- 12} d x