What is the derivative of ((x+9))/(6x-1) ?

The derivative of ((x+9))/(6x-1) is -(55)/((6x-1)^2)

What is the first derivative of ((x+9))/(6x-1) ?

The first derivative of ((x+9))/(6x-1) is -(55)/((6x-1)^2)

Popular >

derivative of

\frac{( x + 9 )}{6 x - 1}

- \frac{55}{( 6 x - 1 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 9}{6 x - 1})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x + 9 ) ( 6 x - 1 ) - \frac{d}{d x} ( 6 x - 1 ) ( x + 9 )}{( 6 x - 1 ) ^{2}}

\frac{d}{d x} (x + 9) = 1

\frac{d}{d x} (6 x - 1) = 6

= \frac{1 \cdot ( 6 x - 1 ) - 6 ( x + 9 )}{( 6 x - 1 ) ^{2}}

Simplify

\frac{1 \cdot ( 6 x - 1 ) - 6 ( x + 9 )}{( 6 x - 1 ) ^{2}} : - \frac{55}{( 6 x - 1 ) ^{2}}

= - \frac{55}{( 6 x - 1 ) ^{2}}

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

\int_{- \infty}^{- 1} e^{- 8 t} d t

y = x^{2} - 3 x, x = 0, x = 7, y = 4 x

\frac{\partial}{\partial y} (x y + yz + x z)

x \to (\frac{π}{2}) - lim (tan (x))

What is the derivative of ((x+9))/(6x-1) ?
The derivative of ((x+9))/(6x-1) is -(55)/((6x-1)^2)
What is the first derivative of ((x+9))/(6x-1) ?
The first derivative of ((x+9))/(6x-1) is -(55)/((6x-1)^2)