On alpha.sagenb.org, I get the following:
sage: t=var('t')
sage: diff(cot(t),t)
D[0](cot)(t)
sage: diff(cos(t)/sin(t),t)
-cos(t)^2/sin(t)^2 - 1
Does Sage not know that cot(t) is cos(t)/sin(t)? Or am I just being silly?
Jason
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