Derivative of (ln(12x))^5

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Derivative of (ln(12x))^5: 


((ln(12*x))^5)'

5*(ln(12*x))^(5-1)*(ln(12*x))'

5*(ln(12*x))^(5-1)*(1/(12*x))*(12*x)'

5*(ln(12*x))^(5-1)*(1/(12*x))*((12)'*x+12*(x)')

5*(ln(12*x))^(5-1)*(1/(12*x))*(0*x+12*(x)')

5*(ln(12*x))^(5-1)*(1/(12*x))*(0*x+12*1)

5*(ln(12*x))^(5-1)*x^-1

5*x^-1*(ln(12*x))^4

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

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