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

Derivative of (1/(1+(1/x))). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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


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

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

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

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

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

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

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

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

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

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

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

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