(See Steps) Prove that the given function satisfy the hypothesis of the mean value theorem on the indicated interval. Find all the numbers c ∈ (a,b)
Question: Prove that the given function satisfy the hypothesis of the mean value theorem on the indicated interval. Find all the numbers \(c\in \left( a,b \right)\) that satisfy the conclusion of the theorem.
\[f\left( x \right)=x+\frac{1}{x},\,\,\,\,\left[ 1,2 \right]\]
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