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  3. a) suppose f:[a, b] ? r is continuous on [a, b] an

a) Suppose f:[a, b] ? R is continuous on [a, b] and differentiable on (a, b)...

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Advance Math

a) Suppose f:[a, b] ? R is continuous on [a, b] anddifferentiable on (a, b) and f ' < -1 on (a, b). Prove that f isstrictly decreasing on [a, b].
b) Suppose f:[a, b] ? R is continuous on [a, b] and differentiableon (a, b) and
f ' ? -1 on (a, b).   Why must it be true that either f '> -1 on all of (a, b) or f ' < -1 on all of (a, b)?

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