en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x+1)/(x+3)

Solution

derivative of

\frac{x + 1}{x + 3}

Solution

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

Solution steps

\frac{d}{d x} (\frac{x + 1}{x + 3})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( x + 1 ) ( x + 3 ) - \frac{d}{d x} ( x + 3 ) ( x + 1 )}{( x + 3 ) ^{2}}

\frac{d}{d x} (x + 1) = 1

\frac{d}{d x} (x + 3) = 1

= \frac{1 \cdot ( x + 3 ) - 1 \cdot ( x + 1 )}{( x + 3 ) ^{2}}

Simplify

\frac{1 \cdot ( x + 3 ) - 1 \cdot ( x + 1 )}{( x + 3 ) ^{2}} : \frac{2}{( x + 3 ) ^{2}}

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

Popular Examples

y^{''}-3y^'+2y=e^t

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{t}

integral of 4xln(3x)

\int 4 x ln (3 x) d x

((dy)/(dx))-(y/(3x))+(x/(3y))=0

(\frac{d y}{d x}) - (\frac{y}{3 x}) + (\frac{x}{3 y}) = 0

integral of ye^{ty}

\int y e^{t y}

(\partial)/(\partial x)((3x)/((x+y)^3))

\frac{\partial}{\partial x} (\frac{3 x}{( x + y ) ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of (x+1)/(x+3) ?
The derivative of (x+1)/(x+3) is 2/((x+3)^2)
What is the first derivative of (x+1)/(x+3) ?
The first derivative of (x+1)/(x+3) is 2/((x+3)^2)