What is the derivative of e^{5xsin(2x}) ?

The derivative of e^{5xsin(2x}) is e^{5xsin(2x)}*5(sin(2x)+2xcos(2x))

What is the first derivative of e^{5xsin(2x}) ?

The first derivative of e^{5xsin(2x}) is e^{5xsin(2x)}*5(sin(2x)+2xcos(2x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{5 x s i n (2 x)})

e^{5 x s i n (2 x)} \cdot 5 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{5 x s i n (2 x)})

Apply the chain rule:

e^{5 x s i n (2 x)} \frac{d}{d x} (5 x sin (2 x))

= e^{5 x s i n (2 x)} \frac{d}{d x} (5 x sin (2 x))

\frac{d}{d x} (5 x sin (2 x)) = 5 (sin (2 x) + 2 x cos (2 x))

= e^{5 x s i n (2 x)} \cdot 5 (sin (2 x) + 2 x cos (2 x))

\int 5 cos (x) + 3 sin (x) d x

f (x) = 2 x^{2} + 8 x

n = 1 \sum \infty 2 (- \frac{1}{2})^{n}

\frac{d}{d t} (1 + t)

\int 8 x e^{x} d x

What is the derivative of e^{5xsin(2x}) ?
The derivative of e^{5xsin(2x}) is e^{5xsin(2x)}*5(sin(2x)+2xcos(2x))
What is the first derivative of e^{5xsin(2x}) ?
The first derivative of e^{5xsin(2x}) is e^{5xsin(2x)}*5(sin(2x)+2xcos(2x))