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  3. note- if it is true, you need to prove it and if i

NOTE- If it is true, you need to prove it and If it is false, give...

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Advance Math

NOTE- If it is true, you need to prove it and If it is false,give a counterexample

f : [a, b] ? R is continuous and in the open interval (a,b)differentiable.

a) If f(a) ? f(b), then exists a ? ? (a,b) with f?(?) ? 0.(TRUEor FALSE?)

b) If f is reversable, then f ?1 differentiable. (TRUE orFALSE?)
c) If f ? is limited, then f is lipschitz. (TRUE or FALSE?)

Answer & Explanation Solved by verified expert
4.0 Ratings (656 Votes)
a The statement is trueIf the function is a constant it has zero slope everywhere andthen we are doneIf it is not a constant it is decreasing somewhere at which theslope is negative So in both of these cases    See Answer
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