导数求根号下x2+1

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导数求根号下x2+1
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导数求根号下x2+1
导数求根号下x2+1

导数求根号下x2+1
y'=1/(x+根号下x^2+1)*(x+根号下x^2+1)'
=1/(x+根号下x^2+1)*(1+x/根号下x^2+1)
=1/(x+根号下x^2+1)*(根号下x^2+1+x)/根号下x^2+1
=1/根号下(x^2+1)

[√(x2+1)]'
=1/2√(x2+1) *2x
=x/√(x2+1)