en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=e^{4xsin(2x)}

Solution

derivative of

f (x) = e^{4 x s i n (2 x)}

Solution

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))

Popular Examples

(\partial)/(\partial x)((e^x)/(u(x)+x^2))

\frac{\partial}{\partial x} (\frac{e ^{x}}{u ( x ) + x ^{2}})

y^{''}-9/x y^'+(34)/(x^2)y=0

y^{^{''}} - \frac{9}{x} y^{^{'}} + \frac{34}{x ^{2}} y = 0

\frac{d y}{d x} = 5 y + 2

derivative of (6x+2x^2)/((3+2x)^2)derivative of

\frac{6 x + 2 x ^{2}}{( 3 + 2 x ) ^{2}}

integral of (x+1)/(sqrt(x^2-9))

\int \frac{x + 1}{x ^{2} - 9} d x

Frequently Asked Questions (FAQ)

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