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((x+2/x)^4)'The calculation above is a derivative of the function f (x)

4*(x+2/x)^(4-1)*(x+2/x)'

4*(x+2/x)^(4-1)*((x)'+(2/x)')

4*(x+2/x)^(4-1)*((2/x)'+1)

4*(x+2/x)^(4-1)*(((2)'*x-(2*(x)'))/(x^2)+1)

4*(x+2/x)^(4-1)*((0*x-(2*(x)'))/(x^2)+1)

4*(x+2/x)^(4-1)*((0*x-(2*1))/(x^2)+1)

4*(x+2/x)^(4-1)*(1-2/(x^2))

(4*(x^3+2*x)^3*(1-(2/(x^2))))/(x^6)

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