Let \[f:[a,b]\to R\] be a function such that for \[c\in (a,b),f'(c)=f'(c)=f'''(c)={{f}^{iv}}(c)={{f}^{v}}(c)=0\]. Then

f has a local extremum at x = c

f has neither local maximum nor minimum at x = c

f is necessarily a constant function

it is difficult to say whether or (b)

Let \[f:[a,b]\to R\] be a function such that for \[c\in (a,b),f'(c)=f'

1.	Let \[f:[a,b]\to R\] be a function such that for \[c\in (a,b),f'(c)=f'(c)=f'''(c)={{f}^{iv}}(c)={{f}^{v}}(c)=0\]. Then
A.	f has a local extremum at x = c
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 or (b)
Answer» E.

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Let \[f:[a,b]\to R\] be a function such that for \[c\in (a,b),f'(c)=f'(c)=f'''(c)={{f}^{iv}}(c)={{f}^{v}}(c)=0\]. Then

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