de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (6x+e^{-x^2}^5)

Lösung

\frac{d}{d x} ((6 x + e^{- x^{2}})^{5})

Lösung

5 (6 x + e^{- x^{2}})^{4} (6 - 2 e^{- x^{2}} x)

Schritte zur Lösung

\frac{d}{d x} ((6 x + e^{- x^{2}})^{5})

Wende die Kettenregel an:

5 (6 x + e^{- x^{2}})^{4} \frac{d}{d x} (6 x + e^{- x^{2}})

= 5 (6 x + e^{- x^{2}})^{4} \frac{d}{d x} (6 x + e^{- x^{2}})

\frac{d}{d x} (6 x + e^{- x^{2}}) = 6 - 2 e^{- x^{2}} x

= 5 (6 x + e^{- x^{2}})^{4} (6 - 2 e^{- x^{2}} x)

Graph

Beliebte Beispiele

limit as x approaches 0 of (2x)/(sin(x))

integral of (60x^2+20x)/(10x^3+5x^2+3)

derivative y=\sqrt[x]{x}

integral of 1/((x^2+64)^2)

derivative of e^{x/(10})