cos(arccos1除以根号x)求导
问题描述:
cos(arccos1除以根号x)求导
答
y= cos(arccos(1/√x) )y' = -sin(arccos(1/√x)) .(arccos(1/√x))'= -sin(arccos(1/√x)) .(-1/√(1-x^2) )(1/√x))'=-sin(arccos(1/√x)) .(-1/√(1-x^2) )(-(1/2)(x)^(-3/2)=-sin(arccos(1/√x)) /[2x^(3/2) .√...对不起, 我错了
y= cos(arccos(1/√x) )
y' = -sin(arccos(1/√x)) .(arccos(1/√x))'
= -sin(arccos(1/√x)) . (-1/√(1-(1/x) ) .(1/√x))'
=-sin(arccos(1/√x)) . (-√[x/(x-1)] ). (-(1/2)(x)^(-3/2)
=-sin(arccos(1/√x)) /[2x. √(x-1)]