求导 y=ln [x+(1+x²)½ ]

问题描述:

求导 y=ln [x+(1+x²)½ ]
y'=1/ [x+(1+x²)½ ] × [1+1/2×(1-x²)½]×(-2x)×(-2) 看了前章居然不会求导了,后面这个-2 到底要不要拿出来.现在咋会出现到底要不要继续导啊~我这是怎么了?.求救
我今天不正常了。o(╯□╰)o 上面正负号都写错

有问题,是不需要的!
y'=ln [x+(1-x²)½ ]'=1/[x+(1-x²)½ ]× [x+(1-x²)½ ]‘
=1/[x+(1-x²)½ ]× [1+1/2×(1-x²)½(1-x^2)’]
=1/[x+(1-x²)½ ]× [1+1/2×(1-x²)½(-2x)]