Q. 1

Write necessary condition for a point = c to be an extreme point of the function ().

Answer :

Condition 1:- If f (x) is continuous and f’(x) and exists then all points where ((x)=0 and ”( x)>0) or (f’(x)=0 and f”( x)<0) are extreme points.

Condition 2:- If f(x) is continuous and defined in [a,b] and condition 1 is not satisfied, then points a and b are extreme points.

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