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QUESTION
Suppose that f is a differentiable function, defined on the entire real line, and that f 0 (x) 0 on in interval (a, b). How do we know that f is...
Suppose that f is a differentiable function, defined on the entire real line, and that f 0 (x) > 0 on in interval (a, b). How do we know that f is actually increasing. That is, explain why x1 < x2 ensures that f(x1) < f(x2) on this interval.
