To find: Local maximum and local minimum values of function and value of x at which they occur.
Local minimum at and no local maxima.
For find local maxima or minima first find critical point of function.
For critical point of function
For critical point
From this only or
Hence function has one critical point
Now sign of f’(x) on both side of
So value of derivative at
Value of derivative at
So f’(x) changing sign from negative to positive. So there is a local minimum at and no local maxima for function.
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