Derivative of ln(2/(3-x))

Derivative of ln(2/(3-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(2/(3-x)):


(ln(2/(3-x)))'

(1/(2/(3-x)))*(2/(3-x))'

(1/(2/(3-x)))*(((2)'*(3-x)-(2*(3-x)'))/((3-x)^2))

(1/(2/(3-x)))*((0*(3-x)-(2*(3-x)'))/((3-x)^2))

(1/(2/(3-x)))*((0*(3-x)-(2*((-x)'+(3)')))/((3-x)^2))

(1/(2/(3-x)))*((0*(3-x)-(2*((3)'-1)))/((3-x)^2))

(1/(2/(3-x)))*((0*(3-x)-(2*(0-1)))/((3-x)^2))

(1/(2/(3-x)))*((0*(3-x)-(2*(-1)))/((3-x)^2))

(3-x)^-1

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

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