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Popular >

derivative of (7+2x)/(1-6x)

Solution

derivative of

\frac{7 + 2 x}{1 - 6 x}

Solution

\frac{44}{( 1 - 6 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{7 + 2 x}{1 - 6 x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 7 + 2 x ) ( 1 - 6 x ) - \frac{d}{d x} ( 1 - 6 x ) ( 7 + 2 x )}{( 1 - 6 x ) ^{2}}

\frac{d}{d x} (7 + 2 x) = 2

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

= \frac{2 ( 1 - 6 x ) - ( - 6 ) ( 7 + 2 x )}{( 1 - 6 x ) ^{2}}

Simplify

\frac{2 ( 1 - 6 x ) - ( - 6 ) ( 7 + 2 x )}{( 1 - 6 x ) ^{2}} : \frac{44}{( 1 - 6 x ) ^{2}}

= \frac{44}{( 1 - 6 x ) ^{2}}

Graph

Popular Examples

derivative of (x^2-6x-1)/((x-3)^2)derivative of

\frac{x ^{2} - 6 x - 1}{( x - 3 ) ^{2}}

limit as x approaches 1 of [2f(x)+g(x)]

x \to 1 lim ([2 f (x) + g (x)])

(\partial}{\partial x}(\frac{e^x+e^y)/2)

\frac{\partial}{\partial x} (\frac{e ^{x} + e ^{y}}{2})

tangent of y=(((x+2))/((x-2)^2))tangent of

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

integral of (-1)/((x-1)^2)

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

Frequently Asked Questions (FAQ)

What is the derivative of (7+2x)/(1-6x) ?
The derivative of (7+2x)/(1-6x) is (44)/((1-6x)^2)
What is the first derivative of (7+2x)/(1-6x) ?
The first derivative of (7+2x)/(1-6x) is (44)/((1-6x)^2)