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-1^2})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Vereinfache

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

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=(4cos^2(y)tan(x))

\frac{d y}{d x} = (4 cos^{2} (y) tan (x))

derivative (1/(y^2)-9/(y^4))(y+7y^3)

d er i v a t i v e (\frac{1}{y ^{2}} - \frac{9}{y ^{4}}) (y + 7 y^{3})

integral of-8sin(x)

\int - 8 sin (x) d x

integral of (x^2-x+8)/(x^3+2x)

\int \frac{x ^{2} - x + 8}{x ^{3} + 2 x} d x

integral of (x+1)(sqrt(3x+2))

\int (x + 1) (3 x + 2) d x