de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (x^3+3)e^x

Lösung

ableitung von

(x^{3} + 3) e^{x}

Lösung

3 x^{2} e^{x} + e^{x} (x^{3} + 3)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 3) e^{x})

Wende die Produktregel an:

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

f = x^{3} + 3, g = e^{x}

= \frac{d}{d x} (x^{3} + 3) e^{x} + \frac{d}{d x} (e^{x}) (x^{3} + 3)

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

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

= 3 x^{2} e^{x} + e^{x} (x^{3} + 3)

Graph

Beliebte Beispiele

sum from n=1 to infinity of 1/((n(n+3)))

n = 1 \sum \infty \frac{1}{( n ( n + 3 ) )}

integral of 1-2x

\int 1 - 2 x d x

derivative a^2+2a+2

d er i v a t i v e a^{2} + 2 a + 2

derivative of sech(2x)

\frac{d}{d x} (sech (2 x))

(\partial)/(\partial x)((3x+2y)^5)

\frac{\partial}{\partial x} ((3 x + 2 y)^{5})