求下列函数的导数y=arccos1/x y=4arcsin √X/2+√4X-X^2

问题描述:

求下列函数的导数y=arccos1/x y=4arcsin √X/2+√4X-X^2

y = arccos(1/x)y' = -1/√[1-(1/x²)] * (-1/x²)= 1/√[(x²-1)/x²] * (1/x²)= x/√(x²-1) * (1/x²)= 1/[x√(x²-1)]y = arccos(1/x)= arcsecxy' = 1/[x√(x²-1)],这是...