What is the derivative of f(x)=(3x+2)/(x-1) ?

The derivative of f(x)=(3x+2)/(x-1) is -5/((x-1)^2)

What is the first derivative of f(x)=(3x+2)/(x-1) ?

The first derivative of f(x)=(3x+2)/(x-1) is -5/((x-1)^2)

Popular >

derivative of

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

- \frac{5}{( x - 1 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{3 ( x - 1 ) - 1 \cdot ( 3 x + 2 )}{( x - 1 ) ^{2}} : - \frac{5}{( x - 1 ) ^{2}}

= - \frac{5}{( x - 1 ) ^{2}}

\frac{\partial}{\partial x} (81 x^{8} y^{8} - 64 x^{7} y^{7})

\int_{0}^{\frac{π}{2}} x cos (x^{2}) d x

(5 - 5 x^{3})^{3} + \frac{1}{5 - 5 x ^{3}}

\int xx d x

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

What is the derivative of f(x)=(3x+2)/(x-1) ?
The derivative of f(x)=(3x+2)/(x-1) is -5/((x-1)^2)
What is the first derivative of f(x)=(3x+2)/(x-1) ?
The first derivative of f(x)=(3x+2)/(x-1) is -5/((x-1)^2)