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

The derivative of (1+2x)/(1-2x) is 4/((1-2x)^2)

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

The first derivative of (1+2x)/(1-2x) is 4/((1-2x)^2)

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derivative of

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

\frac{4}{( 1 - 2 x ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{2 ( 1 - 2 x ) - ( - 2 ) ( 1 + 2 x )}{( 1 - 2 x ) ^{2}} : \frac{4}{( 1 - 2 x ) ^{2}}

= \frac{4}{( 1 - 2 x ) ^{2}}

n = 9 \sum \infty e^{3 - 6 n}

(y^{2} - 1) d x - (2 y + x y) d y = 0

y = x^{2} - 3 x + 1

\frac{\partial}{\partial x} (4 (x - y) e^{4 y + 4 x^{2}})

x^{^{''}} + 3 x^{^{'}} - 10 x = 6 e^{4 t}

What is the derivative of (1+2x)/(1-2x) ?
The derivative of (1+2x)/(1-2x) is 4/((1-2x)^2)
What is the first derivative of (1+2x)/(1-2x) ?
The first derivative of (1+2x)/(1-2x) is 4/((1-2x)^2)