What is the derivative of 0.5e^{x-1} ?

The derivative of 0.5e^{x-1} is 0.5e^{x-1}

What is the first derivative of 0.5e^{x-1} ?

The first derivative of 0.5e^{x-1} is 0.5e^{x-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (0.5 e^{x - 1})

0.5 e^{x - 1}

Solution steps

\frac{d}{d x} (0.5 e^{x - 1})

Take the constant out:

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

= 0.5 \frac{d}{d x} (e^{x - 1})

Apply the chain rule:

e^{x - 1} \frac{d}{d x} (x - 1)

= e^{x - 1} \frac{d}{d x} (x - 1)

\frac{d}{d x} (x - 1) = 1

= 0.5 e^{x - 1} \cdot 1

Simplify

= 0.5 e^{x - 1}

What is the derivative of 0.5e^{x-1} ?
The derivative of 0.5e^{x-1} is 0.5e^{x-1}
What is the first derivative of 0.5e^{x-1} ?
The first derivative of 0.5e^{x-1} is 0.5e^{x-1}