对y=㏑(x+√1+x눀)求导

2025-06-28 00:19:14
推荐回答(2个)
回答1:

y=㏑(x+√(1+x²))
y=lnu u=x+v v=√m m=1+x²
y'=u'/u
u'=1+v'
v'=m'/2√m
m'=2x
y'=[1+ x/√(1+x²)]/(x+√(1+x²))=1/√(1+x²)

回答2:

y'=1/(x+√(1+x^2))(1+1/(2√(1+x^2)))(2x)
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