de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative cos(e^{-x^2})

Lösung

ableitung von

cos (e^{- x^{2}})

Lösung

2 e^{- x^{2}} x sin (e^{- x^{2}})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= - sin (e^{- x^{2}}) (- 2 e^{- x^{2}} x)

Vereinfache

= 2 e^{- x^{2}} x sin (e^{- x^{2}})

Graph

Beliebte Beispiele

xy^'+y=x^2ln(x)

x y^{^{'}} + y = x^{2} ln (x)

sum from n=1 to infinity of (0.5)^{-n}

n = 1 \sum \infty (0.5)^{- n}

integral of 4xcos(3x)

\int 4 x cos (3 x) d x

(\partial)/(\partial u)(sqrt(u^2+v^2))

\frac{\partial}{\partial u} (u^{2} + v^{2})

integral of (6ln(4x))/5

\int \frac{6 ln ( 4 x )}{5} d x