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Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

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

Popular Examples

limit as x approaches 4-of (7x-1)/(x-4)

x \to 4 - lim (\frac{7 x - 1}{x - 4})

integral of (x^2+12x-9)/(x^3-9x)

\int \frac{x ^{2} + 12 x - 9}{x ^{3} - 9 x} d x

y^{''}+13y^'+36y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 13 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0

integral of-6sin^2(t)

\int - 6 sin^{2} (t) d t

derivative of x^2(x-1)

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

Frequently Asked Questions (FAQ)

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