ln（x+sqr（1+x2））求导怎么求_其他解答

ln（x+sqr（1+x2））求导怎么求

人气：284 ℃　时间：2020-05-12 07:23:06

解答

=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)