y=cot(x/2)^(1/2)求导
问题描述:
y=cot(x/2)^(1/2)求导
答
y=cot(x/2)^(1/2)
y’=1/[2√cot(x/2)] ·-csc²(x/2)·1/2
=-1/[4√cot(x/2)] ·csc²(x/2)
=-1/[4sin²(x/2)√cot(x/2)]