答案分子只有一个dx,我错了还是答案错了?

高数,微分
2025-05-17 08:07:32
推荐回答(2个)
回答1:

商的微分法则,分子应该是减号不是加号

回答2:

y= x/√(x^2+1)
dy
=dx/√(x^2+1) + x. d [1/√(x^2+1)]
=dx/√(x^2+1) + x. [-x/(x^2+1)^(3/2)] dx
= [(x^2 +1 -x^2)/(x^2+1)^(3/2) ] dx
= [1/(x^2+1)^(3/2) ] dx