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((1-cos(4*x))/sin(4*x))'The calculation above is a derivative of the function f (x)
((1-cos(4*x))'*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(((-cos(4*x))'+(1)')*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(((1)'-sin(4*x)*(4*x)')*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(((1)'-sin(4*x)*((4)'*x+4*(x)'))*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(((1)'-sin(4*x)*(0*x+4*(x)'))*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(((1)'-sin(4*x)*(0*x+4*1))*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
((4*(-sin(4*x))+(1)')*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
((4*sin(4*x)+0)*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*(sin(4*x))'))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*cos(4*x)*(4*x)'))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*cos(4*x)*((4)'*x+4*(x)')))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*cos(4*x)*(0*x+4*(x)')))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*cos(4*x)*(0*x+4*1)))/((sin(4*x))^2)
(4*sin(4*x)*sin(4*x)-((1-cos(4*x))*4*cos(4*x)))/((sin(4*x))^2)
(4*(sin(4*x))^2-(4*cos(4*x)*(1-cos(4*x))))/((sin(4*x))^2)
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