What is the derivative of f(x)=(-8x+2)/(3x+5) ?

The derivative of f(x)=(-8x+2)/(3x+5) is -(46)/((3x+5)^2)

What is the first derivative of f(x)=(-8x+2)/(3x+5) ?

The first derivative of f(x)=(-8x+2)/(3x+5) is -(46)/((3x+5)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{- 8 x + 2}{3 x + 5}

- \frac{46}{( 3 x + 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{- 8 x + 2}{3 x + 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( - 8 x + 2 ) ( 3 x + 5 ) - \frac{d}{d x} ( 3 x + 5 ) ( - 8 x + 2 )}{( 3 x + 5 ) ^{2}}

\frac{d}{d x} (- 8 x + 2) = - 8

\frac{d}{d x} (3 x + 5) = 3

= \frac{( - 8 ) ( 3 x + 5 ) - 3 ( - 8 x + 2 )}{( 3 x + 5 ) ^{2}}

Simplify

\frac{( - 8 ) ( 3 x + 5 ) - 3 ( - 8 x + 2 )}{( 3 x + 5 ) ^{2}} : - \frac{46}{( 3 x + 5 ) ^{2}}

= - \frac{46}{( 3 x + 5 ) ^{2}}

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

x \to 0 + lim ((1 + x)^{l n (x)})

\int x arccos (x) d x

\frac{1}{s ^{2} + 2 s + 3}

\int_{2}^{9} \frac{1}{7 ( x - 2 ) ^{3}} d x

What is the derivative of f(x)=(-8x+2)/(3x+5) ?
The derivative of f(x)=(-8x+2)/(3x+5) is -(46)/((3x+5)^2)
What is the first derivative of f(x)=(-8x+2)/(3x+5) ?
The first derivative of f(x)=(-8x+2)/(3x+5) is -(46)/((3x+5)^2)