Derivative of ln(1-10/x)

Derivative of ln(1-10/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 ln(1-10/x):


(ln(1-(10/x)))'

(1/(1-(10/x)))*(1-(10/x))'

(1/(1-(10/x)))*((-(10/x))'+(1)')

(1/(1-(10/x)))*(((10)'*x-(10*(x)'))/(x^2)+(1)')

(1/(1-(10/x)))*((0*x-(10*(x)'))/(x^2)+(1)')

(1/(1-(10/x)))*((0*x-(10*1))/(x^2)+(1)')

(1/(1-(10/x)))*(10*x^-2+0)

(10*x^-2)/(1-(10*x^-1))

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

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