What is the derivative of ((x+2)/(x-2))^5 ?

The derivative of ((x+2)/(x-2))^5 is -(20(x+2)^4)/((x-2)^6)

What is the first derivative of ((x+2)/(x-2))^5 ?

The first derivative of ((x+2)/(x-2))^5 is -(20(x+2)^4)/((x-2)^6)

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derivative of

(\frac{x + 2}{x - 2})^{5}

- \frac{20 ( x + 2 ) ^{4}}{( x - 2 ) ^{6}}

Solution steps

\frac{d}{d x} ((\frac{x + 2}{x - 2})^{5})

Apply the chain rule:

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

= 5 (\frac{x + 2}{x - 2})^{4} \frac{d}{d x} (\frac{x + 2}{x - 2})

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

= 5 (\frac{x + 2}{x - 2})^{4} (- \frac{4}{( x - 2 ) ^{2}})

Simplify

5 (\frac{x + 2}{x - 2})^{4} (- \frac{4}{( x - 2 ) ^{2}}) : - \frac{20 ( x + 2 ) ^{4}}{( x - 2 ) ^{6}}

= - \frac{20 ( x + 2 ) ^{4}}{( x - 2 ) ^{6}}

f (1) = 2 x^{3}

\frac{1}{s ^{3} ( s + 1 )}

\int 0.06 x - 0.6 - \frac{7700}{x ^{2}} d x

\int_{- 1}^{1} 1 2^{x} d x

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

What is the derivative of ((x+2)/(x-2))^5 ?
The derivative of ((x+2)/(x-2))^5 is -(20(x+2)^4)/((x-2)^6)
What is the first derivative of ((x+2)/(x-2))^5 ?
The first derivative of ((x+2)/(x-2))^5 is -(20(x+2)^4)/((x-2)^6)