搜搜做题作业网√(X+√X)求导数=?
来源：学生作业帮 编辑：搜搜做题作业网作业帮 分类：数学作业 时间：2024/07/16 06:43:27
√(X+√X)求导数=?
[√(x+√x)]'
=(1/2)[1/√(x+√x)](x+√x)'
={1/[2√(x+√x)]}[1+(1/2)(1/√x)]
={1/[2√(x+√x)]}(2√x+1)/(2√x)
=[2(√x)+1]/{4√[x(x+√x)]}
=(1/2)[1/√(x+√x)](x+√x)'
={1/[2√(x+√x)]}[1+(1/2)(1/√x)]
={1/[2√(x+√x)]}(2√x+1)/(2√x)
=[2(√x)+1]/{4√[x(x+√x)]}