Derivative of x/(x+(1/x))

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Derivative of x/(x+(1/x)): 


(x/(x+1/x))'

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

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

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

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

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

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

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

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

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

The calculation above is a derivative of the function f (x)

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