What is the derivative of x*e^x-2 ?

The derivative of x*e^x-2 is e^xx+e^x

What is the first derivative of x*e^x-2 ?

The first derivative of x*e^x-2 is e^xx+e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x \cdot e^{x} - 2

e^{x} x + e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (2) = 0

= e^{x} + e^{x} x - 0

Simplify

= e^{x} x + e^{x}

What is the derivative of x*e^x-2 ?
The derivative of x*e^x-2 is e^xx+e^x
What is the first derivative of x*e^x-2 ?
The first derivative of x*e^x-2 is e^xx+e^x