Y= 根号下x+根号下x+根号下x求导

问题描述:

Y= 根号下x+根号下x+根号下x求导

y'=1/[2√(x+√(x+√x))]*(x+√(x+√x))'
=1/[2√(x+√(x+√x))]*[1+1/(2√(x+√x))]*(x+√x)'
=1/[2√(x+√(x+√x))]*[1+1/(2√(x+√x))]*[1+1/(2√x)]