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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \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}}

= 2 \cdot \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

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

Simplify

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

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

\int arcsin (6 x) d x

(3, 1), (0, - 2)

5 \cdot 2^{t - 2}

n = 4 \sum \infty e^{7 - 4 n}

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