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using the mean value theorem: Mimic that proof to above to prove its companion statement using the mean value theorem: If f is differentiable everywhere

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using the mean value theorem: Mimic that proof to above to prove its companion statement

using the mean value theorem: If f is differentiable everywhere and f'(c) > 0 for all c e IR strictly increasing . Mimic that proof to above to prove its companion statement : If f is differentiable everywhere and f'(c) < 0 for all c e IR strictly decreasing. then f is then f is

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