√(X+√X)求导数=?

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√(X+√X)求导数=?

√(X+√X)求导数=?
√(X+√X)求导数=?

√(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)]}

[x+x^(1/2)]^(1/2)
(1/2){[x+x^(1/2)]^(-1/2)}*[1+(1/2)x^(-1/2)]