en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'=(4x)/(e^x)

Solution

y^{^{'}} = \frac{4 x}{e ^{x}}

Solution

y = 4 (- \frac{x}{e ^{x}} - \frac{1}{e ^{x}}) + c_{1}

Solution steps

y^{'} (x) = \frac{4 x}{e ^{x}}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int \frac{4 x}{e ^{x}} d x

\int \frac{4 x}{e ^{x}} d x = 4 (- \frac{x}{e ^{x}} - \frac{1}{e ^{x}}) + c_{1}

y = 4 (- \frac{x}{e ^{x}} - \frac{1}{e ^{x}}) + c_{1}

Graph

Popular Examples

derivative of x^2(1-9x)

derivative of f(x)=x^4-20x^2+64

derivative of ln((sin(x)/(cos(x))))

f(x)=sqrt(2-x^2)

d/(dy)(-x/(y^2))

Frequently Asked Questions (FAQ)

What is the solution for y^'=(4x)/(e^x) ?
The solution for y^'=(4x)/(e^x) is y=4(-x/(e^x)-1/(e^x))+c_{1}