Question: 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

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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