y=f(2x-1⼀2x+1)f✀(x)=arctanx^2 ,求dy⼀dx 求详细过程 结果 蟹蟹

2024-11-20 21:28:13
推荐回答(1个)
回答1:

设u=2x-1/2x+1,则
dy/dx=(dy/du)*(du/dx)=(df(u)/du)*(du/dx)
=f'(u)*(2+1/2x²)=arctanu^2*(2+1/2x²)
=(arctan(2x-1/2x+1)^2)*(2+1/2x²)