mathisfun1
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Yes.Rido12 said:On the last integral, is the upper bound "9"?
Thank you so much!MarkFL said:Hello and welcome to MHB! :D
Can you tell us what you've tried or what your thoughts are on how to begin, so our helpers have an idea where you are stuck and then can provide better help?
MarkFL said:I think I would begin with the minimal case:
$$0<f^{\prime\prime}(x)$$
So, integrating, what can you say about $f$?
mathisfun said:Wouldn't integrating this inequality conclude the same thing as what we are given, that f is a concave upward function?
MarkFL said:What did you get when integrating?
If f1(X)>f2(x)MarkFL said:Let's begin with:
$$0<f^{\prime\prime}(x)$$
And so, on $$[1,k]$$ where $$1<k\in\mathbb{R}$$ there must be some constant $C$ such that:
$$C<f^{\prime}(x)$$
What happens if you integrate again?