设y=ln(sinx눀+1),求dy

2025-01-19 14:30:07
推荐回答(1个)
回答1:


y'
=1/(sinx²+1)×(sinx²+1)'
=1/(sinx²+1)×[cosx²(x²)'+0]
=1/(sinx²+1)×2xcosx²
=2xcosx²/(sinx²+1)
dy=[2xcosx²/(sinx²+1)dx