Derivative of ln(3x+4/x)

Derivative of ln(3x+4/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(3x+4/x): 


(ln(3*x+4/x))'

(1/(3*x+4/x))*(3*x+4/x)'

(1/(3*x+4/x))*((3*x)'+(4/x)')

(1/(3*x+4/x))*(3*(x)'+(4/x)'+(3)'*x)

(1/(3*x+4/x))*(3*(x)'+(4/x)'+0*x)

(1/(3*x+4/x))*((4/x)'+0*x+3*1)

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

(1/(3*x+4/x))*((0*x-(4*(x)'))/(x^2)+3)

(1/(3*x+4/x))*((0*x-(4*1))/(x^2)+3)

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

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

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