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  3. f : [a, b] ? r is continuous and in the open inter

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

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Advance Math

f : [a, b] ? R is continuous and in the open interval (a,b)differentiable. f rises strictly monotonously ? ?x ? (a, b) : f?(x) > 0. (TRUE or FALSE?) f rises strictly monotonously ? ?x ?(a, b) : f ?(x) > 0. (TRUE or FALSE?) f is constant ?? ?x?(a,b):f?(x)=0 (TRUE or FALSE?) If f is reversable, f has no criticalpoint. (TRUE or FALSE?) If a is a “minimizer” of f, then f ?(a) =0. (TRUE or FALSE?) If f(a) ? f(b), then exists a ? ? (a,b) withf?(?) ? 0. If f is reversable, then f ?1 differentiable. (TRUE orFALSE?) If f ? is limited, then f is lipschitz. (TRUE orFALSE?)

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