2楼: Originally posted by jabile at 2014-03-10 18:32:32
不能，
比如，f(t)=2,g(t)=5x^2

5楼: Originally posted by mathstudy at 2014-03-10 21:37:20
g(a,b)=int_0^1f(a,b,t) dt; G(a,b)=int_0^1f^2(a,b,t) dt
g在(a0,b0)处取得极值=》int_0^1f '_a dt=0 和 int_0^1f '_b dt=0

G在(a0,b0)处取得极值=》int_0^1 2*f *f '_a dt=0 和 int_0^1 2*f*f '_b dt=0
二者 ...

6楼: Originally posted by martialvv at 2014-03-10 23:59:00
谢谢，那 f 需要满足什么条件，才能得到g和G在同一点处取得极值呢？...