y=f(x²+1)(f(u)有二阶导数)求y的导数；怎么求,最好有详细解析

y=f(x²+1)(f(u)有二阶导数)求y的导数；怎么求,最好有详细解析
y=f(x²+1)(f(u)有二阶导数)求y的导数；怎么求,最好有详细解析

y=f(x²+1)(f(u)有二阶导数)求y的导数；怎么求,最好有详细解析
y'=[f(x^2+1)]'
=f'(x^2+1)(x^2+1)'
=2xf'(x^2+1)

令u=x²+1 du/dx=2x
dy/dx=(dy/du)×(du/dx)=2xf '(u)
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