Derivative of ln(x)2x

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Derivative of ln(x)2x: 


(x*(ln(x))^2)'

(x)'*(ln(x))^2+x*((ln(x))^2)'

1*(ln(x))^2+x*((ln(x))^2)'

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

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

1*(ln(x))^2+x*((2*ln(x))/x)

(ln(x))^2+2*ln(x)

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

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