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(tan(2*x)+sin(6*x))'The calculation above is a derivative of the function f (x)

(tan(2*x))'+(sin(6*x))'

(2*x)'/((cos(2*x))^2)+(sin(6*x))'

((2)'*x+2*(x)')/((cos(2*x))^2)+(sin(6*x))'

(0*x+2*(x)')/((cos(2*x))^2)+(sin(6*x))'

(0*x+2*1)/((cos(2*x))^2)+(sin(6*x))'

2/((cos(2*x))^2)+cos(6*x)*(6*x)'

2/((cos(2*x))^2)+cos(6*x)*((6)'*x+6*(x)')

2/((cos(2*x))^2)+cos(6*x)*(0*x+6*(x)')

2/((cos(2*x))^2)+cos(6*x)*(0*x+6*1)

2/((cos(2*x))^2)+6*cos(6*x)

2/((cos(2*x))^2)+6*cos(6*x)

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