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Popular >

derivative of ((1+x)/((1-x)))

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

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

Popular Examples

(\partial)/(\partial x)(5xy(15-x-y))

\frac{\partial}{\partial x} (5 x y (15 - x - y))

derivative of 15e^{x^2}derivative of

15 e^{x^{2}}

y^'+2y=4sin(e^{2x})

y^{^{'}} + 2 y = 4 sin (e^{2 x})

y^'=((e^{-x}-e^x))/((3+4y)),y(0)=1

y^{^{'}} = \frac{( e ^{- x} - e ^{x} )}{( 3 + 4 y )}, y (0) = 1

slope ofintercept (0,-9),(-1,-4)slope intercept

(0, - 9), (- 1, - 4)

Frequently Asked Questions (FAQ)

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