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**1. The problem statement, all variables and given/known data**

Show, with appropriate examples, that the conditions g(x) < f(x) < h(x) and derivative(g(x0))=derivative(h(x0)) = m does not imply derivative(f(x0)) = m or even exists. And with some additional condition.

**2. Relevant equations**

derivative g(x) = lim(h tends to zero) (g(x+h)-g(x))/h

**3. The attempt at a solution**

How do I even get started?

Thanks