Calculus Problem - Properties of a Function
This is my first post in this forum :)
I have a mathematical problem that I could not solve. Could you please give me some hints how to solve it?
Let be a continous and on a differentiable function with following properties:
b) there exists a with for all
Now the problem is: Show that is true for all
There is a hint given but it doesn't help me :( The hint is: Consider the set for and show that the the supremum of this set is .
Thanks for help
Re: Calculus Problem - Properties of a Function
I think I would be inclined to use the "mean value" theorem. Suppose there exist such that . Then there exist between 0 and 1 such that