What is the derivative of x/(1-2x) ?

The derivative of x/(1-2x) is 1/((1-2x)^2)

What is the first derivative of x/(1-2x) ?

The first derivative of x/(1-2x) is 1/((1-2x)^2)

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

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

\int x^{3} x^{2} + 15 d x

n = 1 \sum \infty \frac{1}{2 ^{n} ( n + 1 )}

x \to 9 lim (\frac{4 x}{x - 9})

y^{^{'}} \cdot (x - 1) + y \cdot (x - 2) = 0

\frac{1}{( s + 2 ) ( s + 3 )}

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