Answer :



x = 0


Now, for values close to x = 0 and to the left of 0,


g’(x) > 0.


Also, for values close to x = 0 and to the right of 0,


g’(x) < 0


Then, by first derivative test,


x = 0 is point of local maxima and local maximum of g at x = 0 is



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