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Lert f:[a , b]vec be a function such tha...

Lert `f:[a , b]vec` be a function such that for `c in (a , b),f^(prime)(c)=f^"(c)=f^"'(c)=f^(i v)(c)=f^v(c)=0.` Then `f` (a)has a local extermum at `x=c dot` (b)`f` has neither local maximum nor minimum at `x=c` (c)`f` is necessarily a constant function (d)it is difficult to say whether `(a)or(b)dot`

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