ln(x+sqr(1+x2))求导怎么求

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ln(x+sqr(1+x2))求导怎么求ln(x+sqr(1+x2))求导怎么求ln(x+sqr(1+x2))求导怎么求=1/[x+√(1+x²)]×[x+√(1+x²)]''=1/

ln(x+sqr(1+x2))求导怎么求
ln(x+sqr(1+x2))求导怎么求

ln(x+sqr(1+x2))求导怎么求
=1/[x+√(1+x²)] × [x+√(1+x²)]'
=1/[x+√(1+x²)] × [1+√(1+x²)']
=1/[x+√(1+x²)] × [1+1/2√(1+x²) ×(1+x²)']
=1/[x+√(1+x²)] × [1+x/√(1+x²)]
=1/√(1+x²)

1/(sqr(1+x^2))