y=x+16÷√(x-1) (x>1)的导数是多少
问题描述:
y=x+16÷√(x-1) (x>1)的导数是多少
答
y=x+16(x-1)^(-1/2)
所以y'=1+16*(-1/2)*(x-1)^(-1/2-1)
=1-8*(x-1)^(-3/2)
=1-8/[(x-1)√(x-1)]