Question: Fully state the Mean Value Theorem: If a function f(x) is continuous on and differentiable on ; then there exists a c in (a, b)

Fully state the Mean Value Theorem: "If a function f(x) is continuous on and differentiable on ; then there exists a c in (a, b) such that f '(c) = Find all values of c guaranteed by the Mean Value Theorem for f (x) = x' + 6x on [1 , 4], if they exist

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