What is the derivative of (3-4x/(2x+2)) ?

The derivative of (3-4x/(2x+2)) is -7/(2(x+1)^2)

What is the first derivative of (3-4x/(2x+2)) ?

The first derivative of (3-4x/(2x+2)) is -7/(2(x+1)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{3 - 4 x}{2 x + 2})

- \frac{7}{2 ( x + 1 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3 - 4 x}{2 x + 2})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 3 - 4 x ) ( 2 x + 2 ) - \frac{d}{d x} ( 2 x + 2 ) ( 3 - 4 x )}{( 2 x + 2 ) ^{2}}

\frac{d}{d x} (3 - 4 x) = - 4

\frac{d}{d x} (2 x + 2) = 2

= \frac{( - 4 ) ( 2 x + 2 ) - 2 ( 3 - 4 x )}{( 2 x + 2 ) ^{2}}

Simplify

\frac{( - 4 ) ( 2 x + 2 ) - 2 ( 3 - 4 x )}{( 2 x + 2 ) ^{2}} : - \frac{7}{2 ( x + 1 ) ^{2}}

= - \frac{7}{2 ( x + 1 ) ^{2}}

\int sin (x) \cdot (π + 2 x) d x

\frac{d y}{d x} = \frac{( y ^{2} + 5 x x ^{2} + y ^{2} )}{x y}

\frac{d}{d t} ((4 cos (t) - 2) e^{i t})

\frac{d}{d x} ((ln (4 x))^{2})

y^{^{'}} = 5 y + y^{3}

What is the derivative of (3-4x/(2x+2)) ?
The derivative of (3-4x/(2x+2)) is -7/(2(x+1)^2)
What is the first derivative of (3-4x/(2x+2)) ?
The first derivative of (3-4x/(2x+2)) is -7/(2(x+1)^2)