Derivative of (4ln(5x))/(3-4x)

Derivative of (4ln(5x))/(3-4x). 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 (4ln(5x))/(3-4x):


((4*ln(5*x))/(3-(4*x)))'

((4*ln(5*x))'*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

(((4)'*ln(5*x)+4*(ln(5*x))')*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*(ln(5*x))')*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*(1/(5*x))*(5*x)')*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*(1/(5*x))*((5)'*x+5*(x)'))*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*(1/(5*x))*(0*x+5*(x)'))*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*(1/(5*x))*(0*x+5*1))*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

((0*ln(5*x)+4*x^-1)*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(3-(4*x))'))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*((-(4*x))'+(3)')))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(4*(x)'+(4)'*x+(3)')))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(4*(x)'+0*x+(3)')))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(0*x+4*1+(3)')))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(0-4)))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))-(4*ln(5*x)*(-4)))/((3-(4*x))^2)

(4*x^-1*(3-(4*x))+16*ln(5*x))/((3-(4*x))^2)

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

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