What is the derivative of f(x)=(2x-1)/(4x+8) ?

The derivative of f(x)=(2x-1)/(4x+8) is 5/(4(x+2)^2)

What is the first derivative of f(x)=(2x-1)/(4x+8) ?

The first derivative of f(x)=(2x-1)/(4x+8) is 5/(4(x+2)^2)

Popular >

derivative of

f (x) = \frac{2 x - 1}{4 x + 8}

\frac{5}{4 ( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2 x - 1}{4 x + 8})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 2 x - 1 ) ( 4 x + 8 ) - \frac{d}{d x} ( 4 x + 8 ) ( 2 x - 1 )}{( 4 x + 8 ) ^{2}}

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

\frac{d}{d x} (4 x + 8) = 4

= \frac{2 ( 4 x + 8 ) - 4 ( 2 x - 1 )}{( 4 x + 8 ) ^{2}}

Simplify

\frac{2 ( 4 x + 8 ) - 4 ( 2 x - 1 )}{( 4 x + 8 ) ^{2}} : \frac{5}{4 ( x + 2 ) ^{2}}

= \frac{5}{4 ( x + 2 ) ^{2}}

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

\frac{\partial}{\partial y} (4 y - 2 x)

\int 4 - x^{2} x d x

\frac{\partial}{\partial x} (\frac{e ^{y}}{x + y ^{7}})

\frac{d}{d x} (- \frac{4}{( 1 + 2 x ) ^{2}})

What is the derivative of f(x)=(2x-1)/(4x+8) ?
The derivative of f(x)=(2x-1)/(4x+8) is 5/(4(x+2)^2)
What is the first derivative of f(x)=(2x-1)/(4x+8) ?
The first derivative of f(x)=(2x-1)/(4x+8) is 5/(4(x+2)^2)