y=f(x눀-1),f(u)可微,求y的微分

2024-12-21 19:59:30
推荐回答(1个)
回答1:

+-----------------------------------
+ 思路:复合函数链式求导法则
+-----------------------------------
+ 求解如下:
y' = f'(x^2-1) * (x^2-1)' = 2xf'(x^2-1)
∴ dy = y'dx = 2xf'(x^2-1)dx