What is the derivative of e^{4xsin(2x}) ?

The derivative of e^{4xsin(2x}) is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))

What is the first derivative of e^{4xsin(2x}) ?

The first derivative of e^{4xsin(2x}) is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (e^{4 x s i n (2 x)})

e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{4 x s i n (2 x)})

Apply the chain rule:

e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

= e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

\frac{d}{d x} (4 x sin (2 x)) = 4 (sin (2 x) + 2 x cos (2 x))

= e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

What is the derivative of e^{4xsin(2x}) ?
The derivative of e^{4xsin(2x}) is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))
What is the first derivative of e^{4xsin(2x}) ?
The first derivative of e^{4xsin(2x}) is e^{4xsin(2x)}*4(sin(2x)+2xcos(2x))