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(sin(ln(2*x)))'The calculation above is a derivative of the function f (x)

cos(ln(2*x))*(ln(2*x))'

(1/(2*x))*cos(ln(2*x))*(2*x)'

(1/(2*x))*cos(ln(2*x))*((2)'*x+2*(x)')

(1/(2*x))*cos(ln(2*x))*(0*x+2*(x)')

(1/(2*x))*cos(ln(2*x))*(0*x+2*1)

x^-1*cos(ln(2*x))

x^-1*cos(ln(2*x))

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