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Differentiability of Functions

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Let f(x) be differentiable for a < x < b. Which of the following statements must be true?
A. f is increasing on (a,b)
B. f is continuous on (a,b)
C. f is bounded on [a,b]
D. f is continuous on [a,b]
E. f is decreasing on [a,b]

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Let f(x) be differentiable for a < x < b. Which of the ...

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