Find the points of local maxima or local minima, if any, of the following functions, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be:


=


=


For f ‘(0) =


So, 2 – 3x = 0 => x =



=


=


=



Therefore, by second derivative test, x = is a point of local maxima and the local maxima value of F at x = is


Hence,


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