复合函数求导 设y=f(1⼀x),其中f(u)为二阶可导函数,则d^2y⼀dx^2=?

2025-01-20 20:06:31
推荐回答(1个)
回答1:

dy/dx=f'(1/x)*(-1/x^2)
d^2y/dx^2=f''(1/x)*(-1/x^2)(-1/x^2)+f'(1/x)*(2/x^3)
=f''(1/x)/x^4+2f'(1/x)/x^3