设f(x)二阶可导,且y=f(e^x)求y''(x)大哥大姐帮帮忙,小弟在此下跪拉.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 01:30:13
设f(x)二阶可导,且y=f(e^x)求y''(x)大哥大姐帮帮忙,小弟在此下跪拉.

设f(x)二阶可导,且y=f(e^x)求y''(x)大哥大姐帮帮忙,小弟在此下跪拉.
设f(x)二阶可导,且y=f(e^x)求y''(x)
大哥大姐帮帮忙,小弟在此下跪拉.

设f(x)二阶可导,且y=f(e^x)求y''(x)大哥大姐帮帮忙,小弟在此下跪拉.
y'=[f(e^x)]'
=[f'(e^x)](e^x)'
=[f'(e^x)](e^x)
y''={[f'(e^x)](e^x)}'
=[f'(e^x)]'(e^x)+[f'(e^x)](e^x)'
=[f''(e^x)](e^x)'(e^x)+[f'(e^x)](e^x)
={[f''(e^x)](e^x)+f'(e^x)}(e^x)