come~大神!y=(1+X눀)arctanX,求y″. y=Xe∧x,求y∧n!希望有具体步骤~

2025-06-28 14:06:37
推荐回答(1个)
回答1:

y=(1+x²)arctanx
y ′ = 2x arctanx + (1+x²)/(1+x²) = 2x arctanx
y ′′ = 2arctanx + 2x/(1+x²)

y=xe^x
y ′ = e^x+xe^x = (1+x)e^x
y ′′ = e^x+(1+x)e^x = (2+x)e^x

y(n) = (n+x)e^x