en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-2e^xsin(x)

Solution

\frac{d}{d x} (- 2 e^{x} sin (x))

Solution

- 2 (e^{x} sin (x) + cos (x) e^{x})

Solution steps

\frac{d}{d x} (- 2 e^{x} sin (x))

Take the constant out:

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

= - 2 \frac{d}{d x} (e^{x} sin (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = sin (x)

= - 2 (\frac{d}{d x} (e^{x}) sin (x) + \frac{d}{d x} (sin (x)) e^{x})

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

\frac{d}{d x} (sin (x)) = cos (x)

= - 2 (e^{x} sin (x) + cos (x) e^{x})

Graph

Popular Examples

integral of xe^{4x^2}

\int x e^{4 x^{2}} d x

limit as x approaches 5+of (x+5)/(x+5)

x \to 5 + lim (\frac{x + 5}{x + 5})

integral of x^{-2}+x^{-1}+1+x+cos(x)

\int x^{- 2} + x^{- 1} + 1 + x + cos (x) d x

sum from n=1 to infinity of 1/(2*n)

n = 1 \sum \infty \frac{1}{2 \cdot n}

derivative of (sqrt(x))/(x+5)derivative of

\frac{x}{x + 5}

Frequently Asked Questions (FAQ)

What is the derivative of-2e^xsin(x) ?
The derivative of-2e^xsin(x) is -2(e^xsin(x)+cos(x)e^x)
What is the first derivative of-2e^xsin(x) ?
The first derivative of-2e^xsin(x) is -2(e^xsin(x)+cos(x)e^x)