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` has a local extermum at `x=cdot` `f` has neither local maximum nor minimum at `x=c` `f` is necessarily a constant function it is difficult to say whether `a)or(b)dot`

Options

A. f has local extremum at x =c
B. f has neither local maximum nor local minimum at x =c
C. f is necessarily a constant function
D. it is difficult to say whether (a) or (b)

Answer

D