What is the derivative of Ae^{4x} ?

The derivative of Ae^{4x} is Ae^{4x}*4

What is the first derivative of Ae^{4x} ?

The first derivative of Ae^{4x} is Ae^{4x}*4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (A e^{4 x})

A e^{4 x} \cdot 4

Solution steps

\frac{d}{d x} (A e^{4 x})

Take the constant out:

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

= A \frac{d}{d x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{d}{d x} (4 x)

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

\frac{d}{d x} (4 x) = 4

= A e^{4 x} \cdot 4

What is the derivative of Ae^{4x} ?
The derivative of Ae^{4x} is Ae^{4x}*4
What is the first derivative of Ae^{4x} ?
The first derivative of Ae^{4x} is Ae^{4x}*4