- #1
inferi
- 16
- 0
hi,
this question is so hard that i do not know it's head from it's tail.
here this the question:
let f be a funcation defined on [o,infinity),with the properties: f is continuous on [o,infinity),f(0)=0,and the first derivative of f exists on [o,infinity),and the first derivative of f increasing on [o,infinity),
1-show that g(x)=(f(x)/x) is increasing on [o,infinity).
2-show that if the first derivative of f(c)=0 for some c>0, if f(x)>=0,then f(x)=0 on the inteval [0,c].
please i need a big fat hint for this question anyone can help? thank you
this question is so hard that i do not know it's head from it's tail.
here this the question:
let f be a funcation defined on [o,infinity),with the properties: f is continuous on [o,infinity),f(0)=0,and the first derivative of f exists on [o,infinity),and the first derivative of f increasing on [o,infinity),
1-show that g(x)=(f(x)/x) is increasing on [o,infinity).
2-show that if the first derivative of f(c)=0 for some c>0, if f(x)>=0,then f(x)=0 on the inteval [0,c].
please i need a big fat hint for this question anyone can help? thank you