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

The derivative of ((x-1/(x+1))^2) is (4(x-1))/((x+1)^3)

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

The first derivative of ((x-1/(x+1))^2) is (4(x-1))/((x+1)^3)

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

\frac{4 ( x - 1 )}{( x + 1 ) ^{3}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

2 \cdot \frac{x - 1}{x + 1} \cdot \frac{2}{( x + 1 ) ^{2}} : \frac{4 ( x - 1 )}{( x + 1 ) ^{3}}

= \frac{4 ( x - 1 )}{( x + 1 ) ^{3}}

\frac{d}{d x} (2 tan (2 x))

\frac{d}{d t} (cos^{3} (t))

\frac{d}{d x} ((6 x - 1) (3 x - 5)^{- 1})

\frac{d}{d t} (a cos (3 t))

\frac{\partial}{\partial x} (e^{3 x^{2}} + 4 x y + 5 y^{2})

What is the derivative of ((x-1/(x+1))^2) ?
The derivative of ((x-1/(x+1))^2) is (4(x-1))/((x+1)^3)
What is the first derivative of ((x-1/(x+1))^2) ?
The first derivative of ((x-1/(x+1))^2) is (4(x-1))/((x+1)^3)