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Question

The first and second order derivatives of a function f(x) exist at all points in (a,b) with
f(c)=0, where a<c<b. Further more, if f(x)<0 at all points on the immediate left of c and f(x)>0 for all points on the immediate right of c, then at x=c, f(x) has a

A
local maximum
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B
local minimum
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C
point of inflexion
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D
none of these
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