de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=(e^{4x^{2+1}})/8

Lösung

ableitung von

y = \frac{e ^{4 x^{2 + 1}}}{8}

Lösung

\frac{3 e ^{4 x^{3}} x ^{2}}{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{e ^{4 x^{2 + 1}}}{8})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{8} \frac{d}{d x} (e^{4 x^{2 + 1}})

Wende die Kettenregel an:

e^{4 x^{2 + 1}} \frac{d}{d x} (4 x^{2 + 1})

= e^{4 x^{2 + 1}} \frac{d}{d x} (4 x^{2 + 1})

\frac{d}{d x} (4 x^{2 + 1}) = 12 x^{2}

= \frac{1}{8} e^{4 x^{2 + 1}} \cdot 12 x^{2}

Vereinfache

\frac{1}{8} e^{4 x^{2 + 1}} \cdot 12 x^{2} : \frac{3 e ^{4 x^{3}} x ^{2}}{2}

= \frac{3 e ^{4 x^{3}} x ^{2}}{2}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^2y^4+z^3)

limit as x approaches 7 of 18

integral of ln(x/(x+1))

integral from 0 to 4 of |x^2-4x+3|

derivative of d-b-ax-d/(x^2)