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

The derivative of ((x+2)/(x-2))^2 is -(8(x+2))/((x-2)^3)

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

The first derivative of ((x+2)/(x-2))^2 is -(8(x+2))/((x-2)^3)

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derivative of

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

- \frac{8 ( x + 2 )}{( x - 2 ) ^{3}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

2 \cdot \frac{x + 2}{x - 2} (- \frac{4}{( x - 2 ) ^{2}}) : - \frac{8 ( x + 2 )}{( x - 2 ) ^{3}}

= - \frac{8 ( x + 2 )}{( x - 2 ) ^{3}}

\frac{d}{d x} (e^{x t a n (x)})

y = x^{4} + 3 x^{2} - x

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

\int 64 x^{3} (4 x^{2} - 1) d x

What is the derivative of ((x+2)/(x-2))^2 ?
The derivative of ((x+2)/(x-2))^2 is -(8(x+2))/((x-2)^3)
What is the first derivative of ((x+2)/(x-2))^2 ?
The first derivative of ((x+2)/(x-2))^2 is -(8(x+2))/((x-2)^3)