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

The derivative of ((x+2)/(sqrt(2-x))) is (-x+6)/(2(2-x)sqrt(2-x))

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

The first derivative of ((x+2)/(sqrt(2-x))) is (-x+6)/(2(2-x)sqrt(2-x))

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{( x + 2 )}{2 - x})

\frac{- x + 6}{2 ( 2 - x ) 2 - x}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{1 \cdot 2 - x - ( - \frac{1}{2 2 - x} ) ( x + 2 )}{( 2 - x ) ^{2}} : \frac{- x + 6}{2 ( 2 - x ) 2 - x}

= \frac{- x + 6}{2 ( 2 - x ) 2 - x}

y^{^{''}} + 4 y = 12 sin (2 t)

\int e^{3 x} (3 x + 1) d x

\int_{0}^{t} cos^{2} (wt) d t

\int 3 a y^{2} d y

\frac{d}{d x} (\frac{x + 5}{x - 1})

What is the derivative of ((x+2)/(sqrt(2-x))) ?
The derivative of ((x+2)/(sqrt(2-x))) is (-x+6)/(2(2-x)sqrt(2-x))
What is the first derivative of ((x+2)/(sqrt(2-x))) ?
The first derivative of ((x+2)/(sqrt(2-x))) is (-x+6)/(2(2-x)sqrt(2-x))