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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) f is constant ?? ?x?(a,b): f?(x)=0 (TRUE or FALSE?)

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