de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=(6x^2+4)e^x

Lösung

ableitung von

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

Lösung

12 x e^{x} + e^{x} (6 x^{2} + 4)

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 6 x^{2} + 4, g = e^{x}

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

\frac{d}{d x} (6 x^{2} + 4) = 12 x

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

= 12 x e^{x} + e^{x} (6 x^{2} + 4)

Graph

Beliebte Beispiele

integral of x/(x^2+6x+11)

\int \frac{x}{x ^{2} + 6 x + 11} d x

derivative of (5-3x^3)

\frac{d}{d x} ((5 - 3 x)^{3})

derivative e^{6e^x}

d er i v a t i v e e^{6 e^{x}}

integral from 0 to 1 of (2x-2x^2)

\int_{0}^{1} (2 x - 2 x^{2}) d x

derivative of x^4+x^3+x^2+1

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)