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What is the derivative of ##y=csc^2(x)##?
Using the :
##d/dx(csc^2(x)) = d/dxu^2 d/dxu##, and ##u = csc(x), du = 2u##
##= 2csc(x) d/dx(cscx)##
##= -cot(x)csc(x)2csc(x)##
Simplying yields:
##=-2cot(x)csc^2(x)##