Derivative of ln(7x)/7x

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


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

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

1*(ln(7*x)/7)+x*(ln(7*x)/7)'

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

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

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

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

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

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

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

1*(ln(7*x)/7)+x*((x^-1)/7)

ln(7*x)/7+1/7

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

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