What is the derivative of x/(9x+2) ?

The derivative of x/(9x+2) is 2/((9x+2)^2)

What is the first derivative of x/(9x+2) ?

The first derivative of x/(9x+2) is 2/((9x+2)^2)

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\frac{d}{d x} (\frac{x}{9 x + 2})

\frac{2}{( 9 x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{9 x + 2})

Apply the Quotient Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (9 x + 2) = 9

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

Simplify

= \frac{2}{( 9 x + 2 ) ^{2}}

\int (9 - 5 x) d x

\frac{\partial}{\partial x} (2 x - 6 y^{2} - 6)

\int sec^{2} (2 x) d x

f (x) = x^{5} ln (x)

\int e^{2 x^{2} + 4} d x

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