Derivative of (ln(7x))/(5x)

Derivative of (ln(7x))/(5x). 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(7x))/(5x): 


(ln(7*x)/(5*x))'

((ln(7*x))'*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

((1/(7*x))*(7*x)'*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

((1/(7*x))*((7)'*x+7*(x)')*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

((1/(7*x))*(0*x+7*(x)')*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

((1/(7*x))*(0*x+7*1)*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

(x^-1*5*x-(ln(7*x)*(5*x)'))/((5*x)^2)

(x^-1*5*x-(ln(7*x)*((5)'*x+5*(x)')))/((5*x)^2)

(x^-1*5*x-(ln(7*x)*(0*x+5*(x)')))/((5*x)^2)

(x^-1*5*x-(ln(7*x)*(0*x+5*1)))/((5*x)^2)

(x^-1*5*x-(ln(7*x)*5))/((5*x)^2)

(5-(5*ln(7*x)))/(25*x^2)

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

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